User talk:Ulam1988

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The Ulam Quarterly Journal has a new location you can get it by e mailing pblass@gmail.com http://ulamquarterly.dyndns.org

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Piotr Blass Mathematician and Politician Pioneer of the world wide web in Florida and in the world alongside Berners-Lee in 1988. Inventor of Zariski Surfaces. Candidate of Florida Governor 2006 and US Senate 2004,2010 and mayor of Boynton Beach 2010 detailed works are at Zariski Surfaces yahoo group which contains cv and publication list.

http://www.dkosopedia.com/w/images/c/c7/Flblass.jpg Picture of Dr Piotr Blass

Piotrek Blass is a mathematician born in Poland in 1948. He created and developed the theory of Zariski surface during 1970-2006 through research and collaboration with numerous algebraic geometers. Piotrek Blass was the founding editor of the Ulam Quarterly Journal in 1987 .This Journal was the first electronic peer refereed electronic mathematics journal in the world and it played a positive role in developing the world wide web movement especially in Florida and in the USA. Piotrek Blass was educated in Warsaw,Michigan,Harvard,Vienna, Hebrew Univeristy and Princeton. He studied mathematics education with Hassler Whitney and algebraic geometry with Oscar Zariski. Piotrek Blass collaborated with Alexander Grothendieck in work on Elements of Algebraic Geometry part 5 about Bertini type theorems. This work is available from the Ulam Quarterly Journal www.ulam.usm.edu and also from the Grothendieck circle website and from Jim Milne's website where more background can be found. Pierre Deligne collaborated with Piotrek Blass on Picard groups of Zariski surfaces and he communicated the results in several notes to the Paris Academy. Piotrek Blass has been a force in mathematics education at all levels including mentoring Chris Skinner,Jeffrey Lang,Scott Flansburg,Wayne Raskind,John Post,Henryk Kowalski,Adam Michnik and thousands of other students during 1962-2006. Piotrek Blass also frequently teaches and mentors teenagers at risk from poverty and crime stricken areas and promotes affirmative action in mathematics and science education. Piotrek Blass comes from a family of Holocaust survivors from Lwow. Piotrek Blass is a combat veteran of the Yom Kippur war 1973-74. He is listed as Piotr Blass as a write in candidate for Florida governor in 2006. He considers himself a follower of Einstein,Gandhi and Korczak in politics and science. Details of creative and applied work are at www.pblass.com. Major original work and papers with Pal Erdos,Holsztynski,Bernard Dwork,Mark Levine,Raymond Hoobler,Stan Klasa,Torsten Ekedahl,Jeffery Lang,Pierre Deligne,<a href="http://en.wikipedia.org/w/index.php?title=Steven_Smale&amp;action=edit" class="new" title="Steven Smale">Steven Smale</a>,<a href="http://en.wikipedia.org/wiki/Heisuke_Hironaka" title="Heisuke Hironaka">Heisuke Hironaka</a>, <a href="http://en.wikipedia.org/wiki/John_Tate" title="John Tate">John Tate</a>,<a href="http://en.wikipedia.org/wiki/Lars_Ahlfors" title="Lars Ahlfors">Lars Ahlfors</a>,<a href="http://en.wikipedia.org/wiki/Oscar_Zariski" title="Oscar Zariski">Oscar Zariski</a>,<a href="http://en.wikipedia.org/wiki/Melvin_Hochster" title="Melvin Hochster">Melvin Hochster</a>,<a href="http://en.wikipedia.org/w/index.php?title=Joseph_Lipmann&amp;action=edit" class="new" title="Joseph Lipmann">Joseph Lipmann</a> and <a href="http://en.wikipedia.org/wiki/John_Milnor" title="John Milnor">John Milnor</a> among others. Extensive work in computer mathematics ,pure and applied data science and internet science as detailed in www.pblass.com.

Work on Zariski surfaces .Pure and applied mathematics:

p><a name="Properties_of_Zariski_surfaces" id="Properties_of_Zariski_surfaces"></a> Properties of Zariski surfaces Piotr Blass and Jeff Lang have computed the <a href="http://en.wikipedia.org/wiki/Picard_group" title="Picard group">Picard group</a> of the generic Zariski surface using some ideas of <a href="http://en.wikipedia.org/wiki/Pierre_Deligne" title="Pierre Deligne">Pierre Deligne</a> and <a href="http://en.wikipedia.org/wiki/Alexander_Grothendieck" title="Alexander Grothendieck">Alexander Grothendieck</a> during 1980-1993.

The following problem posed by Oscar Zariski in 1971 is still open: let p ≥ 5, let S be a Zariski surface with vanishing geometric genus. Is S necessarily a rational surface? For p = 2 and for p = 3 the answer to the above problem is negative as shown in 1977 by Piotr Blass in his University of Michigan Ph.D. thesis and by William E. Lang in his Harvard Ph.D. thesis in 1978. Any Zariski surface with vanishing bigenus is rational and that all Zariski surfaces are simply connected. Zariski surfaces form a rich family including <a href="http://en.wikipedia.org/wiki/Surfaces_of_general_type" title="Surfaces of general type">surfaces of general type</a>, <a href="http://en.wikipedia.org/wiki/K3_surface" title="K3 surface">K3 surfaces</a>, <a href="http://en.wikipedia.org/wiki/Enriques_surface" title="Enriques surface">Enriques surfaces</a>, quasi <a href="http://en.wikipedia.org/wiki/Elliptic_surface" title="Elliptic surface">elliptic surfaces</a> and also <a href="http://en.wikipedia.org/wiki/Rational_surface" title="Rational surface">rational surfaces</a>. In every characteristic the family of birationally distinct Zariski surfaces is infinite.

Zariski threefolds and manifolds of higher dimension have been similarly defined and a broad theory is slowly emerging as of 2006 in preprint form. There is only a very rudimentary theory of moduli of Zariski surfaces to be further developed as of 2006. The Japanese school of geometers, following work of the Russian school of geometers, recently showed that every supersingular K3 surface in characteristic two is a Zariski surface. <a href="http://en.wikipedia.org/wiki/Michael_Artin" title="Michael Artin">Michael Artin</a> had previously invented a subtle numerical invariant called the Artin invariant that gives an important stratification of the moduli space of such supersingular K3 surfaces in characteristic two. The Albanese variety of a Zariski surface is always trivial.However as was shown by <a href="http://en.wikipedia.org/wiki/David_Mumford" title="David Mumford">David Mumford</a> school of geometry the <a href="http://en.wikipedia.org/wiki/Picard" title="Picard">Picard</a> scheme need not be reduced again we refer to William E.Lang Harvard 1978 Ph.D. thesis. In 1980 Spencer Bloch and Piotr Blass proved that a Zariski surface which is irrational does not admit a finite purely inseparable degree p map onto the projective plane.Iacopo Barsotti remarked that this illustrates a very strong form of simple connectivity of the projective plane. Torsten Ekedahl from Sweden computed the crystalline cohomology of Zariski surfaces in some cases. Ofer Gaber and Ray Hoobler studied with Piotr Blass the Brauer group of Zariski surfaces This work is considered inconclusive as of today 2006. Oscar Zariski and Piotr Blass revived the theory of adjoint surfaces created by the Italian geometers to compute numerical invariants of Zariski surfaces. This has been continued by Joseph Lipmann and also more recently by the computer algebra group in Linz Austria mainly by Joseph Schicho. Currently attempts are being made to use Zariski surfaces for coding ,encryption and also for mathematical physics applications. As of 2006 these efforts are inconclusive.

Computer algebra has been used extensively to compute Picard groups of Zariski surfaces. After seminal work of Jacobson,Cartier,Samuel and Jeffey Lang in his Purdue Ph.D. thesis 1980 the computer program was created by David Joyce in Pascal. Students of Jeffrey Lang at the University of Kansas have simplified this program and expressed it using Wolfram Mathematica language and system. Zariski surfaces clearly provide a vast laboratory for testing both the simplest and the most esoteric parts of modern algebraic geometry. This theory is very far from being complete. Zariski surfaces illustrate a modification of the theorem of Bertini in characteristic p&gt;0. Thus this above research about Zariski surfaces naturally led to exploring theorems of Bertini type.<a href="http://en.wikipedia.org/wiki/Alexander_Grothendieck" title="Alexander Grothendieck">Alexander Grothendieck</a> entrusted Piotr Blass with his detailed notes on Bertini type theorems under the title EGA 5. These notes are now available to the mathematical public translated and partially edited at the website of the Grothendieck circle centered in France and at the website of James Milne from the University of Michigan.These notes are now inspiring a new generation of algebraic geometers through the philosophy of Grothendieck to view concepts in their natural generality. Several articles about Zariski surfaces and Grothedieck's EGA 5 papers appeared in the Ulam Quarterly Journal which was the first electronic peer refereed mathematics journal in the world.Typesetting was done in Einsteins office in Princeton 1987-1997 Thus indirectly the spirit of Einstein,Zariski,Ulam and Grothendieck helped in the broad and serious launching of the World Wide Web. As mentioned above Zariski surfaces are birational to surfaces in <a href="http://en.wikipedia.org/wiki/Affine_space" title="Affine space">affine</a> 3-space A3 defined by <a href="http://en.wikipedia.org/wiki/Irreducible_polynomial" title="Irreducible polynomial">irreducible polynomials</a> of the form

<dl> <dd>zp = f(x, y).</dd> </dl> There is ample evidence to conjecture that for p&gt;=5 and for a general choice of the polynomial f(x,y) the above affine surface is factorial. Thus Zariski surfaces conjecturally give rise to a large family of two dimensional factorial rings. It would be intersesting to apply these rings to data encryption theory and practice. Another possible interface with computer mathematics is creating data bases and even data warehouses containing Zariski surfaces defined over finite fields. Technology would be developed to compute the usual genera and plurigenera of the surfaces stored in the data base or data warehouse as well as a number of other numerical invariants for example the Artin invariant could be computed on stored. This could lead to a visualization of the moduli spaces including the stratification according to the Artin invariant.Michael Artin conjectures deep interpretation of this picture as a kind of period map with the geometric genus of the surface playing a major role in the dimensions of the strata.

This style of mathematics is slowly emerging today in 2006. For any smooth projective surface B in characteristic p&gt;0 we shall call a Zariski B surface any smooth projective surface S whose function field arises from the function field of B by adjoining a p-th root. When B is an abelian surface Barsotti and Mumford have developed examples and partial theory prior to 1980. Another interesting and perhaps quite realistic case is when B is a surface of general type with Picard group isomorphic to the integers and generated by a hyperplane section in a suitable embedding of B in a projective space. Singularities that arise in the theory of Zariski surfaces and Zariski B surfaces have been resolved by Abyankhar,Zariski and Lipmann during the period 1956-1980.These singularities can be very complicated and difficult to resolve effectively. It is not known which Zariski surfaces are liftable from characteristic p to characteristic zero in the sense of Grothendieck and Lubkin and of course the same is true for Zariski B surfaces. A result of Deligne implies that K3 type Zariski surfaces are liftable. Results of Brieskorn and Michael Artin give some local information about liftability of generic Zariski surfaces that arise from resolving rational singularities. Once again the new generation of algebraic geometers has a wide field of accessible open problems.



Biography

<p style="text-align: left;">Piotr Blass is a Jewish-born,<a href="http://en.wikipedia.org/wiki/Polish" target="_blank">Polish</a>, <a href="http://en.wikipedia.org/wiki/British" target="_blank">British</a> and <a href="http://en.wikipedia.org/wiki/American" target="_blank">American</a> academic and politician.

<p style="text-align: left;">Blass was educated in Poland, England and the United States (B.A.<a href="http://en.wikipedia.org/wiki/Warsaw_University" target="_blank">Warsaw University</a>, 1968; M.A. <a href="http://en.wikipedia.org/wiki/University_of_Michigan" target="_blank">University of Michigan</a>, 1969; M.A. <a href="http://en.wikipedia.org/wiki/Harvard_University" target="_blank">Harvard University</a>, 1976, Ph.D.; <a href="http://en.wikipedia.org/wiki/University_of_Michigan" target="_blank">University of Michigan</a>, 1977). Student of <a href="http://en.wikipedia.org/wiki/Zariski" target="_blank">Zariski</a>, <a href="http://en.wikipedia.org/wiki/Hassler_Whitney" target="_blank">Hassler Whitney</a>, <a href="http://en.wikipedia.org/wiki/John_Tate" target="_blank">John Tate</a>, <a href="http://en.wikipedia.org/wiki/Pierre_Deligne" target="_blank">Pierre Deligne</a>, <a href="http://en.wikipedia.org/wiki/Heisuke_Hironaka" target="_blank">Heisuke Hironaka</a>,<a href="http://en.wikipedia.org/wiki/Melvin_Hochster" target="_blank">Melvin Hochster</a>, <a href="http://en.wikipedia.org/wiki/David_Mumford" target="_blank">David Mumford</a> and <a href="http://en.wikipedia.org/wiki/Stanislaw_Ulam" target="_blank">Stanislaw Ulam</a> among others. Has been educating thousands of students ranging from inner city schools to Princeton Ph.Dâ€&#153;s. for the past 40+ years.Â His teachers and mathematical guides include also: ANDRZEJ MOSTOWSKI, ANDRZEJ BIALYNICKI-BIRULA, JULIAN BRZEZINSKI, WANDA SZMIELEW, WITOLD KOLODZIEJ, JULIUSZ SAWON ,David Gibson, Maxwell Reade, Samuel Eilenberg,LarsAhlfors,Richard Brauer,Rauol Bott ,Alexander Grothendieck,Saul Lubkin,Frank Raymond and Henryk Torunczyk.

<p style="text-align: left;">Blass served in the <a href="http://en.wikipedia.org/wiki/Israel" target="_blank">Israel</a> military in the <a href="http://en.wikipedia.org/wiki/Yom_Kippur_War" target="_blank">Yom Kippur War</a> in 1973-1974. He was an opponent of the Polish <a href="http://en.wikipedia.org/wiki/Communist" target="_blank">communist</a> regime in <a href="http://en.wikipedia.org/wiki/People%27s_Republic_of_Poland" target="_blank">People's Republic of Poland</a>. Blass immigrated to the USA in 1968. He became a US citizen in 1977. <p style="text-align: left;">Served in the military in the <a href="http://en.wikipedia.org/wiki/Yom_Kippur_War" target="_blank">Yom Kippur War</a>. He was an opponent of the Polish <a href="http://en.wikipedia.org/wiki/Communist" target="_blank">communist</a> regime in <a href="http://en.wikipedia.org/wiki/People%27s_Republic_of_Poland" target="_blank">People's Republic of Poland</a>.

<p style="text-align: left;">Created the theory of <a href="http://en.wikipedia.org/wiki/Zariski_surface" target="_blank">Zariski surface</a> also known as theory of Zariski Surfaces with <a href="http://en.wikipedia.org/wiki/Oscar_Zariski" target="_blank">Oscar Zariski</a>, <a href="http://en.wikipedia.org/wiki/Heisuke_Hironaka" target="_blank">Heisuke Hironaka</a>, <a href="http://en.wikipedia.org/wiki/Pierre_Deligne" target="_blank">Pierre Deligne</a>, <a href="http://en.wikipedia.org/wiki/Alexander_Grothendieck" target="_blank">Alexander Grothendieck</a> and with his Ph.D and other students Jeffrey Lang ,Angela Grant, Chris Skinner, Wayne Raskind, Murad Ozaydin, Jurgen Kraft, Fred Schultheis, <a href="http://en.wikipedia.org/wiki/Scott_Flansburg" target="_blank">Scott Flansburg</a>, Derek Davenport, Alain Michnik, <a href="http://en.wikipedia.org/wiki/Adam_Michnik" target="_blank">Adam Michnik</a>, James Harper and Willie Johns among others.

<p style="text-align: left;">James Harper is an African American member of the Florida Legislature.Willie Johns is a Ph.D. and a Seminole Indian. <p style="text-align: left;">Blass has been among the leaders of affirmative action in the USA following in the <p style="text-align: left;">footsteps of his mentor Maxwell O Reade from Ann Arbor during the period 1968-2006. <p style="text-align: left;">Founding Editor of the Ulam Quarterly Journal 1987 which pioneered the worldwide web in the United States and a true co-inventor of the web with Berners-Lee from CERN in Switzerland. <p style="text-align: left;">Blass has taught algebraic geometry and related mathematics since 1968 at among others<a href="http://en.wikipedia.org/wiki/University_of_Michigan" target="_blank">University of Michigan</a>,<a href="http://en.wikipedia.org/wiki/Harvard_University" target="_blank">Harvard University</a>, <a href="http://en.wikipedia.org/wiki/University_of_Oklahoma" target="_blank">University of Oklahoma</a> ,<a href="http://en.wikipedia.org/wiki/Purdue_University" target="_blank">Purdue University</a>,<a href="http://en.wikipedia.org/wiki/University_of_Pennsylvania" target="_blank">University of Pennsylvania</a>,<a href="http://en.wikipedia.org/wiki/Princeton_University" target="_blank">Princeton University</a>,<a href="http://en.wikipedia.org/w/index.php?title=Institute_for_Advanced_Study_in_Princeton&action=edit" target="_blank">Institute for Advanced Study in Princeton</a>,<a href="http://en.wikipedia.org/wiki/Clark_University" target="_blank">Clark University</a>,<a href="http://en.wikipedia.org/wiki/University_of_Arkansas" target="_blank">University of Arkansas</a>,<a href="http://en.wikipedia.org/wiki/University_of_North_Florida" target="_blank">University of North Florida</a>,<a href="http://en.wikipedia.org/wiki/Palm_Beach_Atlantic_University" target="_blank">Palm Beach Atlantic University</a>,<a href="http://en.wikipedia.org/wiki/Florida_Atlantic_University" target="_blank">Florida Atlantic University</a> where he currently conducts a seminar in 2006. Blass has lectured on algebraic geometry in America,Europe,Australia and Asia since 1968.

<p style="text-align: left;">Father of three sons Anatol, Oscar and David. An independent candidate in <a href="http://en.wikipedia.org/wiki/US_Senate" target="_blank">US Senate</a> election 2004 from <a href="http://en.wikipedia.org/wiki/Florida" target="_blank">Florida</a>. <p style="text-align: left;">An independent candidate in <a href="http://en.wikipedia.org/wiki/Florida_gubernatorial_election%2C_2006" target="_blank">Florida gubernatorial election, 2006</a>. Political philosophy inspired by <a href="http://en.wikipedia.org/wiki/Gandhi" target="_blank">Gandhi</a>,<a href="http://en.wikipedia.org/wiki/Einstein" target="_blank">Einstein</a>,<a href="http://en.wikipedia.org/wiki/Martin_Luther_King" target="_blank">Martin Luther King</a>,<a href="http://en.wikipedia.org/wiki/Karol_Wojtyla" target="_blank">Karol Wojtyla</a> also knowns pope John Paul II among others.

<p style="text-align: left;">Family:Father BronislawBlass Professor of Finance at <a href="http://en.wikipedia.org/wiki/Warsaw_University" target="_blank">Warsaw University in</a> <a href="http://en.wikipedia.org/wiki/Poland" target="_blank">Poland</a>, Mother Judyta Blass nee Wachmann Lawyer,Diplomat, Journalist,Educator at <a href="http://en.wikipedia.org/wiki/Warsaw_University" target="_blank">Warsaw University</a> in <a href="http://en.wikipedia.org/wiki/Poland" target="_blank">Poland</a>. Brother Jozef Blass Mathematician,Grandfather Dr Jozef Wachmann Lawyer influential member of the <a href="http://en.wikipedia.org/wiki/Poalei_Zion" target="_blank">Poalei Zion</a> labor party in <a href="http://en.wikipedia.org/wiki/Lwow" target="_blank">Lwow</a>,<a href="http://en.wikipedia.org/wiki/Poland" target="_blank">Poland</a> .Family stems partially from the <a href="http://en.wikipedia.org/wiki/Ettinger" target="_blank">Ettinger</a> ancestryÂ :leading scholars and rabbis of <a href="http://en.wikipedia.org/wiki/Lwow" target="_blank">Lwow</a> ,<a href="http://en.wikipedia.org/wiki/Galicia" target="_blank">Galicia</a> and <a href="http://en.wikipedia.org/wiki/Moravia" target="_blank">Moravia</a> during 1650-1890.The family includes <a href="http://en.wikipedia.org/wiki/Holocaust" target="_blank">Holocaust</a> victims Lea Blass,Wilhelm Blass,Cesia Blass with husband and baby,Lilusia Wachmann age about 12,Anna Wachmann nee Birkenfeld,Jozef Wachmann and many others who mostly perished in the <a href="http://en.wikipedia.org/wiki/Lwow" target="_blank">Lwow</a> area during 1941-1944.Great grandfather Birkenfeld perished in <a href="http://en.wikipedia.org/wiki/Theresienstadt" target="_blank">Theresienstadt</a>.His sons Max and Hermann Birkenfeld were sent by <a href="http://en.wikipedia.org/wiki/Stalin" target="_blank">Stalin</a> regime to <a href="http://en.wikipedia.org/wiki/Vorkuta" target="_blank">Vorkuta</a> ie the <a href="http://en.wikipedia.org/wiki/Gulag" target="_blank">Gulag</a>.They later after 1955 lived in <a href="http://en.wikipedia.org/wiki/Vienna" target="_blank">Vienna</a> <a href="http://en.wikipedia.org/wiki/Austria" target="_blank">Austria</a>.Meta Birkenfeld (Kaplanowicz) and Mendel Birkenfeld lived in <a href="http://en.wikipedia.org/wiki/Tel_Aviv" target="_blank">Tel Aviv</a> <a href="http://en.wikipedia.org/wiki/Israel" target="_blank">Israel</a>. Lily Birkenfeld (Brady) and her daughter Lydia live in <a href="http://en.wikipedia.org/w/index.php?title=Voitsberg&action=edit" target="_blank">Voitsberg</a> <a href="http://en.wikipedia.org/wiki/Austria" target="_blank">Austria</a>.

<p style="text-align: left;">Close friends and associates of the family of <a href="http://en.wikipedia.org/wiki/Stanislaw_Ulam" target="_blank">Stanislaw Ulam</a> and <a href="http://en.wikipedia.org/wiki/Emanuel_Ax" target="_blank">Emanuel Ax</a> who is a distant relative. The Blass family circle of friends,associates and relatives includes Marek Gesicki,Jadwiga Sobczyk ,Genowefa Pawlowska, Andrzej Semkow physician and chemist ,Jacek Fruhling theater critic ,<a href="http://en.wikipedia.org/wiki/Antoni_Slonimski" target="_blank">Antoni Slonimski</a> poet ,Slawomir Librowicz professor of economics, Wiktor Nowotny philosopher,Janusz Weiss media personality in Poland,Henryk Torunczyk mathematician, <a href="http://en.wikipedia.org/wiki/Adam_Michnik" target="_blank">Adam Michnik</a> journalist and author,Jan Litynski member of Polish parliament,<a href="http://en.wikipedia.org/wiki/Marek_Borowski" target="_blank">Marek Borowski</a> speaker of the Polish parliament,Michal Kleiber scientist,Jan Krempa mathematician,Michal Szurek mathematician,James Selwyn from Bank of England and many others of some renown.

<p style="text-align: left;">Piotr Blass immigrated to the USA in 1968. He became a US citizen in 1977. <p style="text-align: left;">Scientific collaborators include Joseph Lipmann,Mark Levine,Wlodzimierz Holsztynski,Stan Klasa,Spencer Bloch ,Shreeram Abhyankhar,William Fulton,Enrico Bombieri,Borko Fuhrt,Tim Ford,Vijay Rohatgi,Ekedahl,Frans Oort, Helen Dukas,John Milnor,Robert Langlands,Bernard Dwork,Donald Lewis,William Heinzer,Mark Spivakovski,Alexei Rudakov among others. Translated important papers of Igor Shafarevich and Shokurov and others from Russian into English. Organized and coordinated several algebraic geometry seminars at the Institute for Advanced Study, Princeton. <p style="text-align: left;">Piotr Blass has taught algebraic geometry and related mathematics since 1968 at among others: University of Michigan,Harvard University, University of Oklahoma, Purdue University,University of Pennsylvania,Princeton University, Institute for Advanced Study in Princeton, Clark University,University of Arkansas,University of North Florida, Palm Beach Atlantic University, Florida Atlantic University where he currently conducts a seminar in 2006. Blass has lectured on algebraic geometry in America, Europe,Australia and Asia since 1968.

Piotr Blass is a mathematician and the founding Editor of The Ulam Quarterly Journal, one of the earliest electronic journals, dedicated to the memory of Stanislaw Ulam from 1989–1996.

Blass has been a candidate for: US Senate 2004 from Florida, Governor of Florida 2006, US House of Representatives District 22 of Florida in 2008.

Blass is the founder of the theory of Zariski surface started in 1970 and based on Oscar Zariski work from 1958. He is the editor and translator of EGA 5 ie Elements of Algebraic Geometry Five - Bertini Type Theorems by Alexander Grothendieck and thesis advisor of Jeffrey Langcurrently a full professor at the University of Kansas.Incidently, EGA 5 is available from the Ulam Quarterly website www.ulam.usm.edu and also from the Grothendieck circle website and from James Milne website. Blass has been active in Poland, England, USA, France, Belgium and Australia extensively lecturing on Algebraic Geometry. His students include Chris Skinner currently a tenured faculty at Princeton University, Scott Flansberg the "human calculator" and creator of megamath and Wayne Raskind who is dean of science and mathematics at the University of Southern California.

Blass is one of the founders of Children's Rights Council in Florida working closely with David Levy ,who created this organization, since 1989.

Blass holds a doctorate in mathematics from University of Michigan and advanced degrees from Harvard and University of Warsaw also previously attended Stanislaw Staszic School in Warsaw and George Abbot School in Guildford, Surrey,England.

Blass has taught computer mathematics at Michigan, Jerusalem, Harvard, Oklahoma, Arkansas, Purdue, UNF Jacksonville, PBAU West Palm Beach, FAU Boca Raton, Monash University Melbourne Australia, Princeton among other to thousands of students. Blass has authored several books on algebraic geometry, numerous research papers, lecture notes and translations from Russian into English in mathematics.

Blass has worked closely with several Solidarity leaders to restore democracy in Poland. Blass was inspired by close family friend Adam Michnik, helped organize the early student protests at Warsaw University, visited Poland during marshall law period and worked with opposition leaders including schoolmates Janusz Weiss, Jacek Drozdzynski and Michal Hozman Mirza Sulkiewicz who followed ideas of Jozef Pilsudzki.

Blass served in the Yom Kippur War.

Blass expresses political platform based on ideas of Einstein,Gandhi,Martin Luther King and John Paul the Second in his interview with the Palm Beach Post available on line and in all of his election websites.

Reference: By Will Vash ,Palm Beach Post Staff Writer,Sunday, August 27, 2006.

He coordinated a small coalition of independent candidates during the 2006 elections in Florida and is moving on to the 2008 election.

This informal Florida coalition includes Atlee Yarrow who is a socialist, Richard Dembinski independent, Carol Castagnero independent democrat,Bob Wiregard independent, CC Reed who is a leader in the African American community in Florida. Finally the coalition reached out to Max Lynn the Reform Party candidate via his campaign manager  the late Bob Friedland. The entire coalition received approximately 150 000 votes in spite of almost total lack of coverage by major media outlets in Florida in 2006. This work continues for 2008 and 2010 elections. Blass himself receive 18 votes.. The exact number of write in votes received by candidates in Florida is imposiible to determine under the current election system.Individual counties reported about 6000 votes of which only 100 were properly assigned.Proper complaints were filed and are in process for a more accurate count.

The Florida Supreme Court intervened in allowing the informal Florida coalition to be represented in televised debates in 2006 .This came too late for Blass but Max Lynn participated in the last televised debate.This effort continues for the 2008 and 2010 elections as well.

Piotr Blass is currently conducting a weekly seminar on emerging science and technology at Florida Atlantic University in Boca Raton since 2005 and also teaching mathematics at City College in Fort Lauderdale.The Blass seminar is aimed at a synthesis of mathematics,computer science,political science.Topics include Zariski manifolds generalizing Zariski surface to all dimensions,data science including database,encryption and compression,genetic algorithms, mathematics of chess,education both gifted and talented and for inner city students,quantum computing,grid computing,blending mathematics statistics and computing into what we call industrial mathematics ,Einstein matrix for political elections among others.

ZARISKI   SURFACES

Zariski surface In algebraic geometry, a branch of mathematics, a Zariski surface is a surface over a field of characteristic p > 0 such there is a dominant inseparable map of degree p from the projective plane to the surface. In particular, all Zariski surfaces are unirational. They were named by Piotr Blass after his Harvard mentor Oscar Zariski who used them in 1958 to give examples of unirational surfaces in characteristic p > 0 that are not rational. (In characteristic 0 by contrast, Castelnuovo's theorem implies that all unirational surfaces are rational.)

Zariski surfaces are birational to surfaces in affine 3-space A3 defined by irreducible polynomials of the form

zp = f(x, y).

Properties of Zariski surfaces Piotr Blass and Jeff Lang have computed the Picard group of the generic Zariski surface using some ideas of Pierre Deligne and Alexander Grothendieck during 1980-1993.

Any Zariski surface with vanishing bigenus is rational and that all Zariski surfaces are simply connected. Zariski surfaces form a rich family including surfaces of general type, K3 surfaces, Enriques surfaces, quasi elliptic surfaces and also rational surfaces. In every characteristic the family of birationally distinct Zariski surfaces is infinite.

K3 surfaces The Japanese school of geometers, following work of the Russian school of geometers, recently showed that every supersingular K3 surface in characteristic two is a Zariski surface. Michael Artin had previously invented a subtle numerical invariant called the Artin invariant that gives an important stratification of the moduli space of such supersingular K3 surfaces in characteristic two. The Albanese variety of a Zariski surface is always trivial. However as was shown by David Mumford school of geometry the Picard scheme need not be reduced again we refer to William E.Lang Harvard 1978 Ph.D. thesis. In 1980 Spencer Bloch and Piotr Blass proved that a Zariski surface which is irrational does not admit a finite purely inseparable degree p map onto the projective plane. Iacopo Barsotti remarked that this illustrates a very strong form of simple connectivity of the projective plane.

Bertini's theorem Zariski surfaces illustrate a modification of the theorem of Bertini in characteristic p>0. Thus this above research about Zariski surfaces naturally led to exploring theorems of Bertini type.Alexander Grothendieck entrusted Piotr Blass with his detailed notes on Bertini type theorems under the title EGA 5. These notes are now available to the mathematical public translated and partially edited at the website of the Grothendieck circle centered in France and at the website of James Milne from the University of Michigan.These notes are now inspiring a new generation of algebraic geometers through the philosophy of Grothendieck to view concepts in their natural generality.

Several articles about Zariski surfaces and Grothedieck's EGA 5 papers appeared in the Ulam Quarterly Journal.

Zariski B surfaces For any smooth projective surface B in characteristic p>0 we shall call a Zariski B surface any smooth projective surface S whose function field arises from the function field of B by adjoining a p-th root. When B is an abelian surface Barsotti and Mumford have developed examples and partial theory prior to 1980. Another interesting and perhaps quite realistic case is when B is a surface of general type with Picard group isomorphic to the integers and generated by a hyperplane section in a suitable embedding of B in a projective space. Singularities that arise in the theory of Zariski surfaces and Zariski B surfaces have been resolved by Abyankhar,Zariski and Lipmann during the period 1956-1980. These singularities can be very complicated and difficult to resolve effectively. It is not known which Zariski surfaces are liftable from characteristic p to characteristic zero in the sense of Grothendieck and Lubkin and of course the same is true for Zariski B surfaces. A result of Deligne implies that K3 type Zariski surfaces are liftable. Results of Brieskorn and Michael Artin give some local information about liftability of generic Zariski surfaces that arise from resolving rational singularities.

Computer mathematics Computer algebra has been used extensively to compute Picard groups of Zariski surfaces. After seminal work of Jacobson,Cartier,Samuel and Jeffey Lang in his Purdue Ph.D. thesis 1980 the computer program was created by David Joyce in Pascal. Students of Jeffrey Lang at the University of Kansas have simplified this program and expressed it using Wolfram Mathematica language and system.

Another possible interface with computer mathematics is creating data bases and even data warehouses containing Zariski surfaces defined over finite fields. Technology would be developed to compute the usual genera and plurigenera of the surfaces stored in the data base or data warehouse as well as a number of other numerical invariants for example the Artin invariant could be computed on stored. This could lead to a visualization of the moduli spaces including the stratification according to the Artin invariant.Michael Artin conjectures deep interpretation of this picture as a kind of period map with the geometric genus of the surface playing a major role in the dimensions of the strata.

Recent work Torsten Ekedahl from Sweden computed the crystalline cohomology of Zariski surfaces in some cases. Ofer Gaber and Ray Hoobler studied with Piotr Blass the Brauer group of Zariski surfaces This work is considered inconclusive as of today 2006.

Oscar Zariski and Piotr Blass revived the theory of adjoint surfaces created by the Italian geometers to compute numerical invariants of Zariski surfaces. This has been continued by Joseph Lipmann and also more recently by the computer algebra group in Linz Austria mainly by Joseph Schicho. Currently attempts are being made to use Zariski surfaces for coding ,encryption and also for mathematical physics applications. As of 2006 these efforts are inconclusive.

Open problems The following problem posed by Oscar Zariski in 1971 is still open: let p ≥ 5, let S be a Zariski surface with vanishing geometric genus. Is S necessarily a rational surface? For p = 2 and for p = 3 the answer to the above problem is negative as shown in 1977 by Piotr Blass in his University of Michigan Ph.D. thesis and by William E. Lang in his Harvard Ph.D. thesis in 1978.

As mentioned above Zariski surfaces are birational to surfaces in affine 3-space A3 defined by irreducible polynomials of the form

zp = f(x, y). There is ample evidence to conjecture that for p>=5 and for a general choice of the polynomial f(x,y) the above affine surface is factorial. Thus Zariski surfaces conjecturally give rise to a large family of two dimensional factorial rings. It would be intersesting to apply these rings to data encryption theory and practice.

Zariski threefolds and manifolds of higher dimension have been similarly defined and a broad theory is slowly emerging as of 2006 in preprint form. There is only a very rudimentary theory of moduli of Zariski surfaces to be further developed as of 2006.

See also List of algebraic surfaces

References A list of Piotr Blass's books and papers on Zariski surfaces Zariski Surfaces And Differential Equations in Characteristic p > 0 by Piotr Blass, Jeffrey Lang ISBN 0-8247-7637-2 Blass, Piotr; Lang, Jeffrey Surfaces de Zariski factorielles. (Factorial Zariski surfaces). C. R. Acad. Sci. Paris Sér. I Math. 306 (1988), no. 15, 671--674. Zariski, Oscar On Castelnuovo's criterion of rationality pa=P2=0 of an algebraic surface. Illinois J. Math. 2 1958 303--315.

Detailed curriculum vitae and list of publications follows

Curriculum Vitae Dr. Piotr Blass

113 West Tara Lake Drive Boynton Beach, FL 33436	Citizenship: United States Phone: (561) 523 1701 (cell)	Three Sons: James, Oscar and David Email: pblass2002@yahoo.com Website: WWW.pblass.com

Education

Ph.D.	University of Michigan, 1977 M.A.	Harvard University, 1976 M.A.	University of Michigan, 1969 B.A.	(equivalent) Warsaw University, 1968

Professional Experience

2008-9                      Distinquish Professor Villarreal and San Marcos U,Peru 2008                          US Congress Candidate District 22 of Florida

2006-                              Governor of Florida Candidate

2004-                              US Senate Candidate

2004-                           Distinquished Professor of Computer Mathematics ,Statistics and Economics at Key College      ,                                    Keiser College ,Miriam Thompson Business School. . 2003- 	Professor of Computer Mathematics at Baypoint Schools in South Florida. Implementing state of the art school for teenagers at risk. Presiding over Ettinger University for staff development. The School of sponsored by the Governor of Florida as one of the best in the country.

2002-	Chief Architect, Alenet Inc. Miami, Florida. Designed and constructed a complete CRM     system using PHP and Mysql. Several major contracts resulted from this work.

2001-	Computer Science, Florida Atlantic University, Devry University Orlando Teaching the class of Data Base, Principles of Software Engineering and Data Structure and  Algorithyms

Chief Architect, Zeosync Inc. Data Compression, Financial Software, Controlled Fusion Research. Video on Demand, HDTV. Simultaneously teaching Software Engineering and Data structures classes at Florida Atlantic University  as well as Mathematics classes at Broward Community College. Several patents are in progress. Developed software for Time Warner AOL and for Sony. Lead a group of  developers including  top national and international experts in data compression, financial computing and controlled fusion research. Multimillion dollar revenue for the company resulted. Chairman of Zaamen Inc a newly established industry leader.

2000-	Chief Scientist, Grasshopper Central Inc. Distance learning universal patented software. Web enabled courses and universities. National Traffic Safety Institute course for all fifty states. SQL Server 2000, ASP, Cold Fusion, E Commerce, XML.Data Warehousing and Data Mining. Assured a long-term multimillion-dollar contract for the company with NTSI. Coded data driven Search Engine software. Responsible for a team of developers, academic consultants, visual artists and business leaders working on creating, testing and implementing the proprietary educational software. Developed a new proprietary web highlighter using MFC. Implemented web enabled asset allocation and options trading software. Designed a proprietary inventory control system. 1999-	     Senior Developer, Claimcard, Inc. Stored Value Card Authorization. Data Warehousing SQL coding, OLTP and OLAP Systems design and implementation. Created a system with several million credit cards on line. Database tuning. Index tuning. Query optimization. Normalization Issues resolved. Constructed from scratch a complete data warehouse using SQL Server 7 OLAP tools.

Used ROLAP, MOLAP and HOLAP techniques. Radical simplification of the system resulted from this work. Considerable revenue and recognition for the company followed. Used Platinum ERWIN tool for data modeling and presenting the terabytes of data necessary for this project

1998 -	          Chief Technical Officer and Database Administrator, Airtime Technologies, Inc. Designed and coded a proprietary SQL 7.0 database for POS Transaction processing. Interface with Verifone terminals and printers. This system is currently processing up to a million transactions daily. It is flexible enough to accommodate a variety of terminal loads and to sell a large selection of products such as cellular phones, calling cards, foreign exchange cash cards, etc. Patent is pending. The system is also implemented using Oracle and UNIX environment. Created, coded and delivered a complete reporting system for merchants, carriers and ISO's.

1998	Systems Analyst and Senior Developer, ADT, Inc. Implementing CORBA Solutions in the context of a very large ORACLE database. Testing financial interface with Melon Bank. Tools used were IDL, PS/SQL, C++, Developer 2000, FTP Servers, UNIX Shell scripts. 1998	Senior Developer, AIE, Inc. Developed a system applicable to lotteries and options trading. Three tier architecture including an MS SQL 7.0 database, IIS Server, ASP, ISAPI programming, seamless integration with Macromedia. and Shockwave multimedia interface. Considerable revenue resulted, several patents are pending. 1998	Webmaster, Search Engine Analyst, Director of Scientific Marketing Research, Web Marketing, Inc. Designed and developed Websites for a variety of products and companies and maximized web traffic by developing a proprietary analytical statistical tool focused on the AltaVista and Infoseek Search Engines. Considerable increase in web traffic was achieved. Daily work with Windows 98, MS Office 97, PFT, UNIX web servers. Multiple Statistical Regression tools, clustering analysis tools and web traffic analysis software.

1998	Database Project Director, Bank Rate Monitor, Inc. Designed an industry wide database to describe the entire financial industry in the U.S. including BRM Publications, Financial Institutions, and Financial Products. The database is being implemented using SQL Server 6.5, Visual Interdev 6.0, Visual FoxPro 6.0, Visual Studio 6.0, Visual C++ 6.0, J++ 6.0, and Visual Basic, 6.0. Coordinated a seminar of users and database administrators. Added new products such as variable annuities, exchange rates to BRM products. The database is producing for example for Federal Reserve, New York Times, Kiplingers, Money Magazine, etc. Created proprietary asset allocation software. Performed statistical studies of bank concentrations. Developed new timing and scheduling implementations. Coordinated training of students by BRM from top universities and high schools.

1998	Director of Engineering, Click Flood Express, Inc. Developing a system for electronic commerce nationwide in scope. Distributed databases. Verisign credit card security Internet faxing gateways. Coordinating work with subcontractors. Access Crystal Reports, Cold Fusion, Active Server Pages, Actibase, Oracle, JavaScript, VB Script, Java, JDBC, ODBC, and Database normalization and optimization techniques are among tools used. Organized scientific advisory board including top scientists. Active in shareholder relations and fundraising for the company. Worked closely with artists and webmasters to maintain artistic appeal of the GUIS multimedia, streaming video, streaming audio and advertising tickertape were employed with state of the art compression methods. Designed an event tracking method for advertising and accounting purposes.

1998	Director of Computer Science, Digital Crossover Systems DXO Development of the backbone structure for a large telephone and data network. Utilizing PBX, ADSL, ATM and compression techniques. Design of global routers and other aspects of the network topology. Coding in C, C++, UNIX, PSOS, and Linux. Programming microcomputers and chips. Coordinating scientific advisory board collaborating with local phone contractors and with Sprint scientists. Effective fundraising work for the company.

1997	Developer and Project Manager, Galacticomm, Inc. Developing a Web enabled database super system, Actibase, based on ODBC, Visual C++, Data Base SDK, and Visual Basic. Production Manager for Actibase. An application to catalogues and finance. Work with major companies including AT&T, Simon & Schuster, and Standard & Poor. Techniques used include ISAPI, Active HTML, CGI, Cold Fusion, advanced SQL, Borland C++, Microsoft and Netscape Browser, IIS, Windows 95, NT and 98, Oracle. Writing an Actibase White Paper. Lead Actibase education work. UNIX administrator.

1997	Professor and Coordinator, Coordinating a Seminar for IBM Sound Compression, Multicasting, Visual Basic Database Applications, Lotus Notes, Electronic Journals, Supercomputers, Parallel Processing, Data Warehousing, Industry Wide Databases, Artificial Intelligence. 1997	Developer and Director of Research, Pipedreaming, Inc.

Developing a new patented broadcasting system for the Internet. Data compression, TCP/IP, C, C++ programming, Mathematica, and database development. JAVA development, HTML, Web pages.

1997	Systems Analyst, Atlas Audiotex, Inc.

Computer Technology. Programming in C, C++, Visual Basic, SQL Server 6.5, FoxPro. Developed joint computer telephony projects with major multinational companies GTECH, SPRINT. Considerable revenue resulted from this work.

1995	Senior Programmer, Pension Research Institute Developed and designed Asset Allocation software to be used by a major Michigan bank. New proprietary techniques created and introduced. C, C++, Visual Basic programming. Major investors currently use the software. 1995 	Professor, Palm Beach Community College

1993	Senior Analyst, Noble Investments, Inc. Asset Allocation software, trend prediction software. This work is in progress as we develop collaboration with Standard & Poor's headquarters. 1993	Consultant, Florida National Bank Developed consumer loan software for the bank. C, C++, Visual Basic and oracle programming. 1991	Consultant, Teledata, Inc. Software for measuring effects of oil leaks at gas stations. EPA approved product. UNIX development. 1989	Editor in Chief, Ulam Quarterly Journal Founded and created the first peer reviewed electronic mathematics journal. Nationally and internationally recognized achievement. FTP, Mosaic, Gopher WORLD WIDE WEB development. Current site: WORLD WIDE WEB.ulam.usm.edu. 1989  Summer II 	Associate Professor, University of Michigan 1988	Consultant, Merck, Inc.	Developed software for the study of pharmaceutical prices in different countries. Adopted by OECD for use by the European community. C, C++, Visual Basic, FoxPro, programming 1988 - Present	Director, Ulam Center for Pure & Applied Mathematics 1988  1993 	Associate Professor, Palm Beach Atlantic College 1988  Summer I 	Senior Lecturer, Monash University, Melbourne, Australia 1988  Summer II 	Assistant Professor, University of Michigan 1987  1988	Associate Professor, University of North Florida 1986  1987	Assistant Professor, University of North Florida 1983  1986	Assistant Professor, University of Arkansas 1984 Spring,} Visiting Professor, IHES, France Summer 1982 1983	Assistant Professor, Clark University 1981 1982	Member, Institute for Advanced Study, Princeton 1980 1981	Lecturer, University of Pennsylvania 1978 1980	Assistant Professor, Purdue University 1977 1978	Instructor, University of Oklahoma

Teaching: College and University Professor since 1977, teaching computer science and applied mathematics. Lectured at top universities and colleges in the United States, Europe and Australia on computer science and pure and applied mathematics.

Graduate Teaching Advisor of Ph.D. Students at Ulam Center, 1989 present. Algebraic Structures, University of North Florida, 1987. Two year course in algebraic geometry, Purdue University, 1978 79. Supervised two Ph.D.'s as thesis advisor: J. Lang, Ph.D. 1981, Purdue University, jointly supervised with W. Heinzer; and Angela Grant, Ph.D. 1988, University of Arkansas. Topics in Algebra, University of Arkansas, Fall 1983. Introduction to Algebraic Geometry and Number Theory, University of Arkansas, spring 1984.

Undergraduate Teaching Many years of undergraduate teaching experience, first as a teaching fellow at Harvard University and University of Michigan, then as a faculty member at University of Oklahoma, Purdue University, University of Pennsylvania, Clark University, University of Arkansas, University of North Florida, Palm Beach Atlantic College, Palm Beach Community College, Broward Community College, Florida Atlantic University. Calculus, Differential Equations, Advanced Applied Math, BASIC, Honors Algebra, Abstract Algebra, Linear Algebra, Complex Variables, Number Theory, Discrete Math, Probability, Data Structures, Software Engineering also remedial math such as College Math, Trigonometry, Intermediate Algebra.

Invited Addresses

Geofisical Institute Peru 2008 San Marcos University Peru 2008 Villarreal University Peru 2008 Florida Atlantic University, 2001 University of Miami, 2000 University of Kansas, 1995 University of Miami, 1990 Ulam Conferences, 1989  1995 Florida Atlantic University, 1989  1994 University of Michigan Summer Number Theory Conference, 1989 Florida Atlantic University Algebraic Geometry Seminar, 1989 University of Michigan Algebraic Geometry Seminar, 1989 Australian National University Colloquium, 1988 Monash University Colloquium, Australia, 1988 Melbourne University Colloquium, Australia, 1988 Macquarie University, Sydney, Australia, 1988 University of Sydney, Australia, 1988 Australian Math Society Annual Meeting, 1988 University of North Florida, Analysis Seminar, 1987 University of North Florida, Math Club, 1987 University of North Florida, Faculty Colloquium, 1986 University of North Florida, Colloquium, 1986 Bowling Green State University, Algebra Seminar, 1985 University of Michigan, Algebraic Geometry Seminar, 1985 Bowdoin College, AMS Summer Institute in Algebraic Geometry, 1985 University of Michigan, Algebraic Geometry Seminar, 1985 Warsaw University, Poland, Algebraic Geometry Seminar, 1985 University of Rochester, Colloquium, 1984 University of Cambridge, Trinity College, England Algebraic Geometry Seminar, 1984 Warsaw University, Poland, Algebra Seminar, 1984 University of Loeven, Belgium, Algebra Seminar, 1984 University of Arkansas, Colloquium, 1983, 1984 University of Pennsylvania, Algebra Seminar, 1983 Smith College, Algebra Seminar, 1983 Northwestern University, Algebra Seminar, 1983 Chicago Circle, Colloquium, 1983 Berkeley, Number Theory Seminar, 1983 Rutgers University, Algebra Seminar, 1982 Columbia University Algebraic Geometry Seminar, 1982 Yale University, Algebra Seminar, 1982 Harvard University, Algebraic Geometry Seminar, 1982 I.A.S., Algebraic Geometry Seminar, 1982 Princeton University, Algebraic Geometry Seminar, 1981 Purdue University, Algebraic Geometry Seminar, 1981 Yale University, Conference in Honor of Jacobson, 1981 AMS, San Antonio, Texas, Special Session on Singularities, 1980 University of Virginia, Colloquium, 1978 AMS, Evanston, IL, Special Session on Singularities, 1977

Professional Activities Professor Extraordinarius, Siedlce University, Poland, since 1994 Editor in Chief, Ulam Quarterly Journal of Math, since 1989 Editor at Large to Marcel Dekker, Inc., Publishers since 1987 Coordinator of Faculty Colloquium, University of North Florida, 1986 88 Coordinator of an Interdisciplinary Seminar, University of Arkansas, 1984, 1985 Coordinator of several Algebraic Geometry seminars during the Algebraic Geometry Year at the Institute for Advanced Study, 1981 82 Coordinator of the mathematical part of the Incoming Freshman Program, University of Pennsylvania, summer, 1981 Reviewer for Mathematical Reviews since 1979. Translator from Russian for AMS publication. Other languages used professionally include Polish, German, French, Italian, Spanish, and Hebrew Reviewer for Compositio Mathematica and for NSF

University Service Mathematics and Music Lectures, Palm Beach Atlantic College, 1989 Mathematics Club Coordinator, Palm Beach Atlantic College, 1989 Library Committee Chairman, Palm Beach Atlantic College, 1989 Retention Committee, Palm Beach Atlantic College, 1989 Community Service Committee, Palm Beach Atlantic College, 1989 Affirmative Action Scholarship Committee, University of North Florida, 1987

Graduate Committee, University of North Florida, 1986 Present Library Committee, University of Arkansas, 1983 86 Library Committee, University of Pennsylvania, 1980 81 Library Committee, Purdue University, 1978 80

Public Service Founder & Vice President, Children's Rights Council, Florida Chapter, since 1990 Lectures to Aboriginal students, Monash University, Australia, 1988 Junior University, University of North Florida, 1987 Coaching the Florida MathCounts Team, Tallahassee, 1987 88 (Fourth place in the United States) Coaching the Stanton School MathCounts Team, Jacksonville, 1987 Several lectures at Arkansas Governor's School, Conway, 1986 Coaching the Arkansas MathCounts Team, Little Rock, 1986

Industry and Business Experience Options trading since 1995 Asset allocation work for Michigan National Bank, 1989  1994 Market prediction work, 1989  present Consulting for Florida National Bank, software for mortgage loans, 1987

International Service Coordinator of the Circle of Polish Speaking Mathematicians organized at the ICM Berkeley, 1986  present Summer School in Algebraic Geometry, Canberra Australian National University, Melbourne, Australia and Monash University, Melbourne, Australia, 1989

Hobbies Music, Reading, Running, Sailing, Karate, Dance, Skiing, Swimming, Languages

Publications:

Papers and Books in Print

1.	Zariski Surfaces, Dissertationes Mathematicae, Vol. 200, 1983. 2.	Remarks on adjoints and arithmetic genera of algebraic varieties, Am. J. of Math., 101 (1979), pp. 331 336. 3.	Zariski Surfaces, C.R., Math, Reports, Academy of Science, Canada, Vol. II, No. 1, 1980. 4.	Unirationality of Enriques Surfaces in Characteristic Two, Compositio Mathematiatica, Vol. 45, Fasc, 3 (1982), pp. 393 398. 5.	Families of Zariski Surfaces (with mark Levine), Duke Math. J. 49 (1982), pp. 129 136. 6.	Computation of the conductor of the algebraic surface z = xb, yc” (with Josef Blass), Revue Roumaine de Mathematiques, Pures et appliquees, Tome XXII, No. 7 (1982), pp. 721 730. 7.	Some geometric applications of a differential equation in characteristic p > 0 to the theory of algebraic surfaces, Contemporary Mathematics, AMS, 13 (1982) (with the cooperation of James Sturnfield and J. Lang). 8.	Picard groups of Zariski Surfaces I, C.R. of the Paris Academy, Research Announcement communicated by P. Deligne, Tome 297, Serie I No. 5, pp. 299 302. 9.	Picard groups of Zariski Surfaces I, Compositio Mathematica 54 (1984), pp. 3 36.

10.	Picard groups of Zariski Surfaces 1I (with J. Lang), Compositio Mathematica 54 (1985), pp. 37 40. 11.	Zariski Surfaces and Differential Equations in Characteristic p > 0 (with J. Lang), Marcel Dekker, Pure and Applied Mathematics, Monograph No. 106, 1987. 12.	The divisor classes of the surface zP = G(x, y), a programmable problem (with J. Lang and David Joyce), Journal of Algebra, Vol. 100, No. 2, 1986. 13.	Picard and Brauer Groups of Zariski Schemes (with Raymond Hoobler), Proceedings of AMS, Col. 97, No. 3, 1986, pp. 379 383. 14.	Locally Factorial Generic Zariski Surfaces are Factorial (with J. Lang), Journal of Algebra, 1987. 15.	A method for computing the kernel of a map of divisor classes of local rings in characteristic p > 0 (with J. Lang), Michigan Math. Journal, 1988. 16.	Surfaces de Zariski Factoriel, C.R. Academy of Science, Paris, communicated by P. Deligne, 306, Serie 1, 1988, pp. 671 674. 17.	A new doubly infinite family of factorial rings (with J. Blass, K. Horadam, A. Ryba, and P. Kleidman), Conference on Group Actions and invariant theory, CMS Conference Proceedings, Vol. 10, p. 43. 18.	The Influence of Oscar Zariski on Modern Algebraic Geometry (with J. Blass), Gazette of Australian Math. Society, December 1989. 19.	On a Remark of Grothendieck (with J. Blass and T. Ford), Communications in Algebra, Vol. 18, Number 11, 1990. 20.	Mathematics and Civilization (with J. Brabban), Opus, A Journal for Interdisciplinary Studies, 1990 91, pp. 92 105 21.	Alexandre Grothendieck’s EGA V, Part 1: Hyperplane Sections and Conic Projections (1). Interpretation and Rendition of his ‘prenotes’ (with Joseph Blass and Stan Klasa), Ulam Quarterly 1 (1) 1992, 62 69. 22.	Alexandre Grothendieck's EGA V, Part II: Study of a Variable Hyperplane Section. Interpretation and Rendition of his ‘prenotes’ (with Joseph Blass and Stan Klasa), Ulam Quarterly 1 (2) 1992, 54 61. 23.	Alexandre Grothendieck's EGA V, Part III. Dimension of the set of exceptional hyperplanes. Interpretation and Rendition of his ‘prenotes’ (with Joseph Blass and Stan Klasa), Ulam Quarterly 1 (3) 1992, 38 52. 24.	Alexandre Grothendieck's EGA V, Part IV. Interpretation and Rendition of his ‘prenotes’ (with Joseph Blass and Stan Klasa), Ulam. Quarterly 1 (4) 1992, 24 36. 25.	Addendum to A. Grothendieck’s EGA V (with Jeff Lang), Ulam Quarterly 1 (4) 1992, 52 54. 26.	Some Questions on Unique Factorization (with Jeffrey Lang), Ulam Quarterly 2 (1) 1993, 11 17. 27.	Alexandre Grothendieck’s EGA V, Part V: Elementary Morphisms and M. Artin's Theorem. Interpretation and Rendition of his ‘prenotes’ (with Joseph Blass and Stan Klasa), Ulam Quarterly 2 (1) 1993, 18 23. 28.	Zariski Surfaces, Part I. Definition and General Properties. The Theory of Adjoints (with Joseph Blass and Jeff Lang), Ulam Quarterly 2 (2) 1993, 34 51. 29.	Alexandre Grothendieck’s EGA V, Part V1. Conic Projections. Interpretation and Rendition of his ‘prenotes’ (with Joseph Blass and Stan Klasa), Ulam Quarterly 2 (2) 1993, 52 57. 30.	Topics in Algebraic Geometry (with Joseph Blass), Seminar at Australian National University, Canberra, May 1988. Ulam Quarterly Lecture Notes No. 1, 1993. 31.	A Variety Associated to a Portfolio, (with Timothy J. Ford), Ulam quarterly 2 (3) 1994, 40 51. 32.	Zariski Surfaces, Part 11. Section 3: On a Question of Oscar Zariski (with Joseph Blass and Jeff Lang), Ulam Quarterly 2 (3) 1994, 58 71.

Papers and Books in Preparation and Unpublished Preprints 1.	The zeta function of Riemann, Harvard University, Minor Thesis, 1971. 2.	The cohomology of singular curves (with Bernard Dwork), 1982. 3.	A remark on the topology of isolated surface singularities (with F. Raymond and A. Ranicki), 1982. 4.	On rational singularities in dim 3 (with George Burns), 1982. 5.	EGA V, based on the notes of Alexandre Grothendieck. 6.	The Harvard Seminar of P adic Cohomology (with Saul Lubkin and David Meredith), 1969 70. 7.	Real Plane Algebraic Curves (with James Grant) 8.	A New Doubly-Infinite Class of Factorial Rings I.(with Joseph Blass, K. J. Horadam, Peter B. Kleidman and A. J. E. Ryba), 1989 9.	Preliminary Notes on Cubic Varieties, (with D. J. Lewis), 1989 10.	Rational Points on Singular Cubic Threefolds, (with D. J. Lewis),1993, draft.

Research Interests: World Wide Web, Web enabled databases, data compression, Internet broadcasting, Computer telephony, Database design, Computers in Finance, CORBA, Enterprise wide software systems, Industry Wide database design, Search Engines, Y2K solutions, POS Transaction Processing, E Commerce

Professional Societies AMS, IEEE, Polish Math Society, Australian Mathematical Society

Translation Mathematical work of  Safarevich, Rudakov ,Sokurov ,Iskovskich and many others published by American Mathematical Society. Used frequently and worldwide by top researchers and students.

Mentoring Advised and mentored thousands of students including for example  Chris Skinner, Scott Flansburg, John Post, Jeffrey Lang, Angela Grant, Fred Schultheis, Wayne Raskind, Matthew Houston, James Harper ,Deric Davenport, Billy Johns,Alain Michnik  and many many others who went on to  be leaders in scientific and community work

Collaboration, Teachers and Advisors William Haboush,Heisuke Hironaka,Oscar Zariski,John Tate,Richard Brauer,Lars Ahlfors,Frank Raymond, Wlodzimierz Holsztynski,Kolodziej,Wanda Szmielew,Karol Borsuk,Kazimierz Kuratowski,Antoni Zygmund, Alexander Grothendieck,Maxwell Reade,Samuel Eilenberg,Iacopo Barsotti,Brzezinski,Sawon,Torunczyk, Raoul Bott,Attiyah,Ribet,Mazur,Pierre Deligne,Bill Fulton,Bernie Dwork,Shimura,Andre Weil,Bombieri, Jim Milne,Helen Dukas,Chowla,Steve Smale,Bialynicki Birula,Gawedzki,Rene Thom,Dolgacev,Bogomolov, Rudnicka,Demidowicz,David Gibson,Mel Hochster,Joe Lipmann,Abhyankar,De Branges,Don Lewis,Barry Brown,Mike Razar,Bruce Atkinson,Hassler Whitney,Dean Montgomery,Robert Langlands,Andy Wiles, John Coates,John Milnor,Gary Horowitz,Kazimierz Kuratowski,Tyrone Duncan,Paul Erdos,Stan Ulam, Adam Ulam,Francoise Ulam,Dottie Phares,Bill Bayer,Nathan Jacobson,William Jaco,Pierre Samuel, Peter Swinnerton Dyer,Barry Mazur,Andrew Gleason,Garett Birkhoff,Mike Artin,Tadeusz Figiel, Jozef Dodziuk,Steve Shatz,Eugenio Calabi,Nijenhaus,Mark Levine,Arthur Ogus,Al Bednarek, Rick Smith,Victor Cook,Ted Metzger,Charles Figley,David Levy,Tijdeman,Jan Denef, Bill Heinzer

Honors and Awards Nominated for Teacher of the Year, Palm Beach Atlantic College, 1989. Technical Assistant Grant from North Holland Publishing Company in connection with the writing of EGA V, 1987. Technical Assistant Grant, University of North Florida, 1987. Faculty Development Fund, University of North Florida, 1987. IHES Support (partial), IHES, France, Summer, 1984. Research Incentive Award, University of Arkansas, 1984. Good Teaching Award (twice), University of Pennsylvania, 1980 81. Distinction and money prize in the J. Marcinkiewicz competition for best student paper, Torun, Poland, 1966. National Finalist in the mathematical Olympiad, Poland, 1964.

12/16/2008

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Please refrain from making unconstructive edits to Wikipedia, as you did at Florida gubernatorial election, 2014. Your edits appear to constitute vandalism and have been reverted or removed. If you would like to experiment, please use the sandbox. Administrators have the ability to block users from editing if they repeatedly engage in vandalism. -  Cwobeel   (talk)  18:29, 10 July 2014 (UTC)