Paul Balmer

Last updated
Paul Balmer
Born1970 (age 5152)
NationalitySwiss
Alma mater University of Lausanne
Awards Humboldt Prize
Scientific career
Fields Algebra
Institutions UCLA
Thesis Groupes de Witt dérivés des schémas (1998)
Doctoral advisor Manuel Ojanguren
Website www.math.ucla.edu/~balmer

Paul Balmer (born 1970) is a Swiss mathematician, working in algebra. He is a professor of mathematics at the University of California, Los Angeles. [1]

Balmer received his Ph.D. from the University of Lausanne in 1998, under the supervision of Manuel Ojanguren, with a thesis entitled Groupes de Witt dérivés des Schémas (in French). [2]

His research centers around triangulated categories. More specifically, he is a proponent of tensor-triangular geometry, an umbrella topic which covers geometric aspects of algebraic geometry, modular representation theory, stable homotopy theory, and other areas, by means of relevant tensor-triangulated categories.

Balmer was an Invited Speaker at the International Congress of Mathematicians in Hyderabad in 2010, with a talk on Tensor Triangular Geometry. [3] In 2012, he became a fellow of the American Mathematical Society. [4] He was awarded the Humboldt Prize in 2015. [5]

Related Research Articles

<span class="mw-page-title-main">Alain Connes</span> French mathematician (born 1947)

Alain Connes is a French mathematician, and a theoretical physicist, known for his contributions to the study of operator algebras and noncommutative geometry. He is a professor at the Collège de France, Institut des Hautes Études Scientifiques, Ohio State University and Vanderbilt University. He was awarded the Fields Medal in 1982.

<span class="mw-page-title-main">Alexander Grothendieck</span> Mathematician

Alexander Grothendieck was a stateless mathematician who became the leading figure in the creation of modern algebraic geometry. His research extended the scope of the field and added elements of commutative algebra, homological algebra, sheaf theory, and category theory to its foundations, while his so-called "relative" perspective led to revolutionary advances in many areas of pure mathematics. He is considered by many to be the greatest mathematician of the twentieth century.

<span class="mw-page-title-main">Michael Artin</span> American mathematician

Michael Artin is a German-American mathematician and a professor emeritus in the Massachusetts Institute of Technology mathematics department, known for his contributions to algebraic geometry.

<span class="mw-page-title-main">Claire Voisin</span> French mathematician

Claire Voisin is a French mathematician known for her work in algebraic geometry. She is a member of the French Academy of Sciences and holds the chair of Algebraic Geometry at the Collège de France.

<span class="mw-page-title-main">Dima Grigoriev</span>

Dima Grigoriev is a mathematician. His research interests include algebraic geometry, symbolic computation and computational complexity theory in computer algebra, with over 130 published articles.

<span class="mw-page-title-main">Karen Vogtmann</span> American mathematician

Karen Vogtmann is an American mathematician working primarily in the area of geometric group theory. She is known for having introduced, in a 1986 paper with Marc Culler, an object now known as the Culler–Vogtmann Outer space. The Outer space is a free group analog of the Teichmüller space of a Riemann surface and is particularly useful in the study of the group of outer automorphisms of the free group on n generators, Out(Fn). Vogtmann is a professor of mathematics at Cornell University and the University of Warwick.

<span class="mw-page-title-main">Michael J. Hopkins</span> American mathematician

Michael Jerome Hopkins is an American mathematician known for work in algebraic topology.

<span class="mw-page-title-main">Spencer Bloch</span> American mathematician

Spencer Janney Bloch is an American mathematician known for his contributions to algebraic geometry and algebraic K-theory. Bloch is a R. M. Hutchins Distinguished Service Professor Emeritus in the Department of Mathematics of the University of Chicago. He is a member of the U.S. National Academy of Sciences and a Fellow of the American Academy of Arts and Sciences and of the American Mathematical Society. At the International Congress of Mathematicians he gave an invited lecture in 1978 and a plenary lecture in 1990. He was a visiting scholar at the Institute for Advanced Study in 1981–82. He received a Humboldt Prize in 1996. He also received a 2021 Leroy P. Steele Prize for Lifetime Achievement.

<span class="mw-page-title-main">Jacob Lurie</span> American mathematician

Jacob Alexander Lurie is an American mathematician who is a professor at the Institute for Advanced Study. Lurie is a 2014 MacArthur Fellow.

<span class="mw-page-title-main">Tom Bridgeland</span> English mathematics professor (born 1973)

Thomas Andrew Bridgeland is a Professor of Mathematics at the University of Sheffield. He was a senior research fellow in 2011–2013 at All Souls College, Oxford and, since 2013, remains as a Quondam Fellow. He is most well-known for defining Bridgeland stability conditions on triangulated categories.

<span class="mw-page-title-main">Christopher Hacon</span>

Christopher Derek Hacon is a mathematician with British, Italian and US nationalities. He is currently distinguished professor of mathematics at the University of Utah where he holds a Presidential Endowed Chair. His research interests include algebraic geometry.

<span class="mw-page-title-main">Harald Helfgott</span> Peruvian mathematician

Harald Andrés Helfgott is a Peruvian mathematician working in number theory. Helfgott is a researcher at the CNRS at the Institut Mathématique de Jussieu, Paris.

<span class="mw-page-title-main">Richard Thomas (mathematician)</span>

Richard Paul Winsley Thomas is a British mathematician working in several areas of geometry. He is a professor at Imperial College London. He studies moduli problems in algebraic geometry, and ‘mirror symmetry’—a phenomenon in pure mathematics predicted by string theory in theoretical physics.

<span class="mw-page-title-main">Eric Friedlander</span> Puerto Rican mathematician

Eric Mark Friedlander is an American mathematician who is working in algebraic topology, algebraic geometry, algebraic K-theory and representation theory.

Ratan Shankar Mishra (1918–1999) was an Indian mathematician and academic who was known for his solutions to the Unified fluid theory of Albert Einstein. He headed the department of Mathematics of the University of Gorakhpur (1958) and University of Allahabad (1963-1968) and served as the vice chancellor of Lucknow University (1982-1985), as the reader at University of Delhi (1954-1958) and as the dean at Banares Hindu University, Varanasi (1965-1968). He was honoured by the Government of India in 1971 with Padma Shri, the fourth highest Indian civilian award.

<span class="mw-page-title-main">Bernhard Keller</span> Swiss mathematician

Bernhard Keller is a Swiss mathematician, specializing in algebra. He is a professor at the University of Paris.

<span class="mw-page-title-main">Mark Gross (mathematician)</span> American mathematician

Mark William Gross is an American mathematician, specializing in differential geometry, algebraic geometry, and mirror symmetry.

<span class="mw-page-title-main">Marc Levine (mathematician)</span> American mathematician

Marc N. Levine is an American mathematician.

Dmitri Olegovich Orlov, is a Russian mathematician, specializing in algebraic geometry. He is known for the Bondal-Orlov reconstruction theorem (2001).

<span class="mw-page-title-main">Anand Pillay</span> British logician

Anand Pillay is a British mathematician and logician working in model theory and its applications in algebra and number theory.

References

  1. "Home page".
  2. Paul Balmer at the Mathematics Genealogy Project
  3. Balmer, Paul (2010). "Tensor triangular geometry". Proceedings of International Congress of Mathematicians, Vol. II (PDF). pp. 85–112. Archived from the original (PDF) on 2017-08-11. Retrieved 2017-10-11.
  4. "List of Fellows of the American Mathematical Society".
  5. "Humboldt Research Award".