![]() ![]() ![]() While I couldn’t understand it, I knew right away that I wanted to. When I was eight, he gave me a copy of the college physics textbook he wrote. Whenever my uncle came to town, he’d open his suitcase, pull out things like magnets or holograms, and use them to explain physics to me. My uncle Albert Baez, father of the famous folk singer Joan Baez, worked for UNESCO, helping developing countries with physics education. The great mathematician Leonhard Euler dreamt this up in 1745.Īs a kid I liked physics better than math. It’s not obvious that you can describe this using a polynomial equation, but you can. You get a curve with three sharp corners called a “deltoid”, shown in red above. For example, roll a circle inside a circle three times as big. Papers and preprints.Īlgebraic theory of quadratic forms, non-commutative Iwasawa theory, motives.Īlgebraic groups and related topics: invariant theory, Galois cohomology, central simple algebras, Lie theory, representation theory.We can describe many interesting curves with just polynomials. Geometric representation theory and algebraic geometry related to questions in categorification, mathematical physics and low dimensional topology, such as the study of knot homologies.Īlgebraic geometry, toric varieties, log geometry, combinatorics of fans and posets. Derived geometry and derived symplectic geometry.Īlgebraic geometry related to high energy physics: moduli spaces, computational Donaldson-Thomas and Gromov-Witten theory, K3 surfaces, Calabi-Yau threefolds, enumerative geometry. Foundational questions in Donaldson-Thomas theory. Others hold tenure or tenure track positions at research universities around the world, including the University of Alberta, Ohio State, Utrecht University (the Netherlands), University of Grenoble (France), University of Colorado, University of Pittsburgh, University of California at Riverside, University of Manitoba, Queen Mary University (London, UK), University of Kent (UK), University of Hong Kong, University College Cork (Ireland), University of Lancaster (UK), University of Queensland (Australia), University of Haifa (Israel) and Saint Mary's University (Halifax, Canada).Īlgebraic geometry: moduli problems, algebraic stacks. Some have gone on to follow up postdoc appointments at top universities internationally, such as Institute for Advanced Study in Princeton, Yale, Imperial College (London, England), EPFL (Lausanne, Switzerland) and Royal Institute of Technology (Stockholm, Sweden). In recent years our postdocs have done very well on the academic job market. Our group usually has 3 - 6 postdocs at any given time. A number of our former graduate students are using their mathematics training outside of academica, in the IT sector, banking or government. They include winning a departmental graduate research award and the CMS dissertation award getting postdoc appointments at Harvard, Oxford, Berkely, Paris XI, ETH Zurich, Imperial College London, UCLA, Caltech, and Michigan and getting tenure track positions, tenured positions, and even deanships at research universities such as University of Oregon, University of Maryland, Kyoto University, University of South Carolina, University of Kansas, and Harvey Mudd. Former PhD students from our group have garnered many accomplishments. There is a weekly research seminar and typically one or more student seminars. The group usually has 10 - 15 graduates at any given time. Members of our group have won numerous research awards in Canada (Aisentstadt, Coxeter-James, Jeffery-Williams and CRM-Fields-PIMS Prizes), the United States (Sloan and AMS Fellowships) and internationally (ICM invitations). ![]() Areas of expertise for the group include moduli spaces and algebraic stacks, Gromov-Witten and Donaldson-Thomas theory, (geometric) representation theory, algebraic groups, categorification, and toric varieties. The algebraic geometry group at UBC covers a broad range of topics in algebra and algebraic geometry and their connections to mathematical physics, representation theory, combinatorics, and topology. Intercontinental Moduli and Algebraic Geometry Seminar Algebraic Geometry Seminar Group Overview ![]()
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