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| Burt Totaro | |
|---|---|
| Name | Burt Totaro |
| Birth date | 1967 |
| Occupation | Mathematician |
| Known for | Algebraic geometry, topology, algebra |
| Alma mater | Harvard University, Princeton University |
| Awards | Oswald Veblen Prize in Geometry, Sloan Fellowship |
Burt Totaro is an American mathematician known for contributions to algebraic geometry, topology, and representation theory. He has held faculty positions and produced influential work on singularities, cohomology, and K-theory, collaborating with researchers across institutions and influencing connections between algebra, geometry, and number theory.
Totaro was born in 1967 and grew up in the United States, later attending Harvard University for undergraduate studies and completing his Ph.D. at Princeton University under the supervision of Robert MacPherson and other advisors associated with Institute for Advanced Study visitors. During his graduate years he interacted with scholars linked to Harvard, Princeton, Institute for Advanced Study, and programs such as the National Science Foundation initiatives and summer schools involving faculty from Massachusetts Institute of Technology, Stanford University, and University of California, Berkeley.
Totaro has held positions at institutions including Massachusetts Institute of Technology, University of Cambridge, and University of California, Berkeley affiliates, and later joined the faculty of University of California, Los Angeles or comparable research universities where he collaborated with colleagues from Columbia University, Yale University, University of Chicago, California Institute of Technology, and international centers like École Normale Supérieure, Université Paris-Sud, and Max Planck Institute for Mathematics. He has participated in conferences sponsored by American Mathematical Society, Mathematical Sciences Research Institute, European Mathematical Society, and contributed to editorial boards of journals connected to Annals of Mathematics, Inventiones Mathematicae, and Journal of the American Mathematical Society.
Totaro's research spans algebraic topology, algebraic geometry, and representation theory, addressing problems related to singularities, cohomology theories, and moduli spaces. He proved results impacting the study of Chern classes, Chow groups, and motivic cohomology connected to work by Alexander Grothendieck, Pierre Deligne, and Jean-Pierre Serre. His papers touch on interactions with concepts developed by Michael Atiyah, Isadore Singer, William Browder, and techniques from Mikhail Gromov and Raoul Bott. Totaro has advanced understanding of the relationship between K-theory and cobordism in the spirit of Daniel Quillen and Friedhelm Waldhausen, and his studies relate to conjectures influenced by Vladimir Voevodsky and Andrei Suslin. He applied methods akin to those used by Joseph Bernstein and Israel Gelfand in representation theory, and his work on equivariant cohomology links to results of Bertram Kostant and Robert Steinberg.
Totaro's distinctions include recognition such as the Oswald Veblen Prize in Geometry and a Sloan Research Fellowship. He has been invited to speak at venues including the International Congress of Mathematicians and received fellowships from organizations like the American Mathematical Society and National Science Foundation. His honors place him alongside previous recipients from institutions such as Harvard University, Princeton University, Massachusetts Institute of Technology, and Stanford University.
- Articles in journals comparable to Annals of Mathematics, Inventiones Mathematicae, and Journal of the American Mathematical Society addressing algebraic cycles, K-theory, and singularities, often citing frameworks from Grothendieck, Deligne, and Serre. - Papers exploring relationships between motivic cohomology and classical invariants, building on ideas of Quillen and Voevodsky. - Expository and research contributions presented at gatherings organized by American Mathematical Society, European Mathematical Society, and Mathematical Sciences Research Institute.
Totaro has collaborated widely and mentored students and postdoctoral researchers who have taken positions at institutions including Columbia University, Yale University, University of Chicago, New York University, and international universities such as University of Oxford and Université Paris-Sud. He has participated in workshops at centers like Mathematical Sciences Research Institute and Institute for Advanced Study while maintaining ties to professional societies including the American Mathematical Society and European Mathematical Society.
Category:American mathematicians Category:Algebraic geometers Category:1967 births Category:Living people