# Algebra and Algebraic Geometry

Intercontinental Moduli and Algebraic Geometry Seminar

##### Algebraic Geometry Seminar

##### Group Overview

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. 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. 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).

##### Info for prospective students

The group usually has 10 -- 15 graduates at any given time. There is a weekly research seminar and typically one or more student seminars. Former PhD students from our group have garnered many accomplishments. 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. A number of our former graduate students are using their mathematics training outside of academica, in the IT sector, banking or government.

##### Info for prospective postdocs

Our group usually has 3 -- 6 postdocs at any given time. In recent years our postdocs have done very well on the academic job market. 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). 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).

## People

Faculty | Research Interests |
---|---|

Kai Behrend | Algebraic geometry: moduli problems, algebraic stacks. Foundational questions in Donaldson-Thomas theory. Derived geometry and derived symplectic geometry. |

Jim Bryan | Algebraic geometry related to high energy physics: moduli spaces, computational Donaldson-Thomas and Gromov-Witten theory, K3 surfaces, Calabi-Yau threefolds, enumerative geometry. |

Sabin Cautis | Geometric representation theory and algebraic geometry related to questions in categorification, mathematical physics and low dimensional topology, such as the study of knot homologies. |

Kalle Karu | Algebraic geometry, toric varieties, log geometry, combinatorics of fans and posets. Papers and preprints. |

Sujatha Ramdorai | Algebraic theory of quadratic forms, non-commutative Iwasawa theory, motives. |

Zinovy Reichstein | Algebraic groups and related topics: invariant theory, Galois cohomology, central simple algebras, Lie theory, representation theory. |

Elina Robeva | Probabilistic graphical models, causality, algebraic statistics, tensor decompositions, super-resolution imaging, density estimation, applied algebraic geometry |

Postdoctoral Researchers | Research Interests |
---|---|

Shamil Asgarli | Arithmetic geometry, finite fields, combinatorics |

Yifeng Huang | Algebraic Geometry, Combinatorics |

Graduate Students | Research Interests |
---|---|

Shubhrajit Bhattacharya | Iwasawa Theory, Galois Representations, Automorphic Forms and the Langlands Program |

Elliot Cheung | |

Atharva Dilip Korde | Algebraic Geometry, Complex Geometry |

Elizabeth Xiao | Algebraic geometry, algebraic combinatorics |