# Mina Aganagic

## Professor of Mathematics and Physics

### Research Area(s): Particle Physics

## Biography

Mina Aganagic received her BS (1995) and PhD (1999) degrees from California Institute of Technology. From 1999-2003 she had a postdoctoral appointment at Harvard University. She was an Assistant Professor of Physics and an Adjunct Professor of Mathematics at the University of Washington, Seattle from 2003-4. In 2004 she was appointed Assistant Professor of Mathematics and Physics at the University of California Berkeley. She was promoted to an Associate Professor in 2008, and to Professor in 2012.

#### Awards and Honors

Simons Investigator, Simons Foundation, 2016-20

Fellow, American Physical Society, 2016

Miller Research Professorship, 2016-17

Alfred P. Sloan Foundation Fellowship, 2004

Outstanding Junior Investigator, Department of Energy, 2003

## Research Interests

I am a string theorist, working at the intersection of mathematics and physics.

The relationship between the two fields has a long history. Going back to Newton, mathematics is used to describe Nature, while physics brings mathematics to life -- providing inspiration and interpretation for many mathematical results.

String theory brings a new ingredient to the table -- phenomenon of duality. To describe a quantum system, we often start with a classical system and then calculate the effect of quantum fluctuations, treating them as small. Duality is the relation between two equivalent descriptions of the same quantum physics in different classical terms. In string theory, dualities turn out to be pervasive.

I work on extracting physical and mathematical predictions of dualities. Sharp mathematical tests of dualities help us understand quantum physics better. Dualities can lead to striking relations between problems in different ares of mathematics: solution to a very hard mathematical problem in one description of physics can be obtained by solving an easy problem in another description.

One example of duality, discovered in the '90s, is mirror symmetry. There are many others. Exploration of string theory dualities and their physical and mathematical implications has only just begun.

### Selected Invited Lectures

Distinguished Lecture Series, UCLA, Department of Mathematics, 2020

Bott Lectures, Harvard University, Department of Mathematics, 2019

Alfred T. Brauer Lectures, University of North Carolina, Chapel Hill, Department of Mathematics, 2018

String-Math Conference, Sendai, Japan, 2018

McGill University, Physics Department Colloquium, 2017

University of Michigan, AnnArbour, Mathematics Departmen Colloquium, 2017

Keynote Speaker, Simons Foundation Annual Meeting, 2016

USC Mathematics Department Colloquium, 2016

Stanford Institute for Theoretical Physics, Colloquium, 2016

Strings Conference, Beijing, 2016

String-Math Conference, Paris, 2016

Joint Mathematics Colloquium, Brandeis-Harvard-MIT-Northeastern, 2015

Colloquium, Simons Center for Geometry and Physics, 2015

Joint Mathematics Meetings, Current Events Bulletin Lecture, San Antonio, 2015

Physics Department Colloquium, California Institute of Technology, 2014

Physics Department Colloquium, University of California, Santa Barbara, 2013

String-Math Conference, SCGP, Stony Brook, 2013

Strings Conference, Munich, Germany, 2012

String-Math Conference, UPenn, Philadelphia, 2011

### Recent Conferences Organized

Enumerative Geometry Beyond Numbers, January 16, 2018 - May 25, 2018

Berkeley Math-Physics Meeting, April 8-9, 2015

## Publications

M. Aganagic, E. Frenkel and A. Okounkov, ”Quantum q-Langlands Correspondence,” arXiv:1701.03146.

M. Aganagic and N. Haouzi, "ADE Little String Theory on a Riemann Surface (and Triality),'' arXiv:1506.04183.

M. Aganagic and C. Vafa, "Large N Duality, Mirror Symmetry, and a Q-deformed A-polynomial for Knots,'' arXiv:1204.4709.

M. Aganagic and S. Shakirov, ``Knot Homology and Refined Chern-Simons Index,'' arXiv:1105.5117.

M. Aganagic, A. Klemm, M. Marino and C. Vafa, ``The Topological vertex,'' hep-th/0305132.

M. Aganagic and C. Vafa, ``Mirror symmetry, D-branes and counting holomorphic discs,'' hep-th/0012041.