Constantin S. Teleman (born in 1968) is a Romanian-American mathematician. He studies

algebraic geometry Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometry, geometrical problems. Classically, it studies zero of a function, zeros of multivariate polynomials; th ...

algebraic topology Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological spaces. The basic goal is to find algebraic invariant (mathematics), invariants that classification theorem, classify topological spaces up t ...

Lie groups In mathematics, a Lie group (pronounced ) is a group that is also a differentiable manifold, such that group multiplication and taking inverses are both differentiable. A manifold is a space that locally resembles Euclidean space, whereas ...

and loop groups as well as their representations and their connections to

mathematical physics Mathematical physics is the development of mathematics, mathematical methods for application to problems in physics. The ''Journal of Mathematical Physics'' defines the field as "the application of mathematics to problems in physics and the de ...

, notably

quantum field theory In theoretical physics, quantum field theory (QFT) is a theoretical framework that combines Field theory (physics), field theory and the principle of relativity with ideas behind quantum mechanics. QFT is used in particle physics to construct phy ...

. Teleman began studying at

Harvard University Harvard University is a Private university, private Ivy League research university in Cambridge, Massachusetts, United States. Founded in 1636 and named for its first benefactor, the History of the Puritans in North America, Puritan clergyma ...

in 1987 (that same year, he was a Putnam Fellow) and obtained his master's degree in 1991. He then received his doctoral degree in 1994 under the direction of

Raoul Bott Raoul Bott (September 24, 1923 – December 20, 2005) was a Hungarian-American mathematician known for numerous foundational contributions to geometry in its broad sense. He is best known for his Bott periodicity theorem, the Morse–Bott function ...

(and

Graeme Segal Graeme Bryce Segal FRS (born 21 December 1941) is an Australian mathematician, and professor at the University of Oxford. Biography Segal was educated at the University of Sydney, where he received his BSc degree in 1961. He went on to recei ...

after he worked at the

University of Cambridge The University of Cambridge is a Public university, public collegiate university, collegiate research university in Cambridge, England. Founded in 1209, the University of Cambridge is the List of oldest universities in continuous operation, wo ...

) with a thesis titled "Lie Algebra Cohomology and the Fusion Rules". He was then the Szegö assistant professor at

Stanford University Leland Stanford Junior University, commonly referred to as Stanford University, is a Private university, private research university in Stanford, California, United States. It was founded in 1885 by railroad magnate Leland Stanford (the eighth ...

and Research Fellow at St John's College at the University of Cambridge. In 1999, became an assistant professor at the

University of Texas at Austin The University of Texas at Austin (UT Austin, UT, or Texas) is a public university, public research university in Austin, Texas, United States. Founded in 1883, it is the flagship institution of the University of Texas System. With 53,082 stud ...

and lecturer in 2001, then in 2003 a reader for St John's College at Cambridge. In 2007, he was a professor at the

University of Edinburgh The University of Edinburgh (, ; abbreviated as ''Edin.'' in Post-nominal letters, post-nominals) is a Public university, public research university based in Edinburgh, Scotland. Founded by the City of Edinburgh Council, town council under th ...

. He is now a professor at

UC Berkeley The University of California, Berkeley (UC Berkeley, Berkeley, Cal, or California), is a public land-grant research university in Berkeley, California, United States. Founded in 1868 and named after the Anglo-Irish philosopher George Berkele ...

Prizes and Honors

In 2002, he received the

Whitehead Prize The Whitehead Prize is awarded yearly by the London Mathematical Society to multiple mathematicians working in the United Kingdom who are at an early stage of their career. The prize is named in memory of homotopy theory pioneer J. H. C. Whitehe ...

for his contributions to

representations ''Representations'' is an interdisciplinary journal in the humanities published quarterly by the University of California Press. The journal was established in 1983 and is the founding publication of the New Historicism movement of the 1980s. It ...

of infinite-dimensional groups, particularly loop groups. In 2015, he was a Senior

Berwick prize The Berwick Prize and Senior Berwick Prize are two prizes of the London Mathematical Society awarded in alternating years in memory of William Edward Hodgson Berwick, a previous Vice-President of the LMS. Berwick left some money to be given to the ...

laureat along with Daniel Freed and Michael J.

Hopkins Hopkins is an English and Welsh patronymic surname derived from the personal name Hopkin and the genitive ending -''s''. Hopkin is itself a pet form of the name Hobb, a shortening of Robert (with alteration of the initial consonant). Notable peop ...

for their article '. They proved the

isomorphism In mathematics, an isomorphism is a structure-preserving mapping or morphism between two structures of the same type that can be reversed by an inverse mapping. Two mathematical structures are isomorphic if an isomorphism exists between the ...

between the twisted equivariant

K-theory In mathematics, K-theory is, roughly speaking, the study of a ring generated by vector bundles over a topological space or scheme. In algebraic topology, it is a cohomology theory known as topological K-theory. In algebra and algebraic geometr ...

of a

compact Lie group In mathematics, a compact (topological) group is a topological group whose topology realizes it as a compact space, compact topological space (when an element of the group is operated on, the result is also within the group). Compact groups are ...

and the Verlinde algebra of its loop group. In 2014, he was an invited speaker at the

International Congress of Mathematicians The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the IMU Abacus Medal (known before ...

in Seoul.

Selected publications

* with Daniel Freed, ''"Relative Quantum Field Theory''", ''Commun. Math. Physics'', vol. 326, 2014, p. 459–476,

Arxiv arXiv (pronounced as "archive"—the X represents the Chi (letter), Greek letter chi ⟨χ⟩) is an open-access repository of electronic preprints and postprints (known as e-prints) approved for posting after moderation, but not Scholarly pee ...

* with

Edward Frenkel Edward Vladimirovich Frenkel (; born May 2, 1968) is a Russian-American mathematician working in representation theory, algebraic geometry, and mathematical physics. He is a professor of mathematics at the University of California, Berkeley. E ...

, ''"Geometric Langlands correspondence near opers''", ''J. Ramanujan Math. Soc.'' 28 A, 2013, p. 123–147,

* ''"The structure of 2D semi-simple field theories''", ''Invent. Math.'', vol. 188, 2012, p. 525–588,

* with Daniel Freed, Michael J.

, ''"Loop groups and twisted K-theory''", Volume 1, ''Journal of Topology'', vol. 4, 2011, p. 737–799, Tome 2, ''J. Amer. Math. Soc.'', vol. 26, 2013, p. 595–644, Tome 3, ''Ann. of Math.'', vol. 174, 2011, p. 947–1007, Volume 1, Arxiv, Volume 2, Volume 3, Arxiv * with Daniel Freed, Michael J. Hopkins,

Jacob Lurie Jacob Alexander Lurie (born December 7, 1977) is an American mathematician who is a professor at the Institute for Advanced Study. In 2014, Lurie received a MacArthur Fellowship. Lurie's research interests are algebraic geometry, topology, and ...

, ''"Topological Quantum Field Theories from Compact Lie Groups''", in P. R. Kotiuga (éd.), A celebration of the mathematical legacy of Raoul Bott, AMS 2010,

* with Christopher T. Woodward, ''"The index formula for the moduli of G-bundles on a curve''". ''Ann. of Math.'', vol. 170, 2009, p. 495–527,

* with Susanna Fishel, Ian Grojnowski, ''"The strong Macdonald conjecture and Hodge theory on the loop Grassmannian''", ''Ann. of Math.'', vol. 168, 2008, p. 175–220,

* ''"The quantization conjecture revisited''", ''Ann. of Math.'', vol. 152, 2000, p. 1–43,

External Links

UC Berkeley personal webpage

UC Berkeley faculty webpage

All Souls College, Oxford website

Notes and references

{{Portal, mathématiques, Roumanie Whitehead Prize winners 21st-century Romanian mathematicians 20th-century Romanian mathematicians Harvard University alumni Stanford University faculty University of Texas at Austin faculty Academics of the University of Cambridge University of California, Berkeley faculty