Simons Collaborationon Arithmetic Geometry, Number Theory, and Computation

Céline Maistret

Céline Maistret was a postdoctoral faculty fellow at Boston University until 2020. Céline received her Ph.D. from the University of Warwick in 2017 and was a research associate at the University of Bristol before joining Boston University. Maistret’s work revolves around the arithmetic of abelian varieties, with a particular interest toward computations related to the parity conjecture and the Birch and Swinnerton-Dyer conjecture. She is currently a Royal Society Dorothy Hodgkin Fellow at the University of Bristol.

Alex Cowan

Alex Cowan received his Ph.D. from Columbia University in 2019 and is currently a research scientist at Harvard University. His research interests include elliptic curves, arithmetic statistics, and analytic number theory.

Atticus Christensen

Atticus Christensen received a PhD in mathematics at MIT under the direction of Bjorn Poonen in 2020.

Daniel Hast

Daniel R. Hast is a postdoctoral researcher at Boston University currently working in number theory, arithmetic algebraic geometry, and Diophantine geometry, with a focus on using p-adic methods and descent techniques to compute rational points on varieties. They received a Ph.D. from University of Wisconsin–Madison in 2018 under the supervision of Jordan Ellenberg, and worked as a G. C. Evans Instructor at Rice University for one year before joining the Simons Collaboration in Fall 2019.

Wanlin Li

Wanlin Li received her Ph.D. from the University of Wisconsin-Madison in 2019 under the supervision of Jordan Ellenberg. Her research interest lies in arithmetic geometry, particularly the study of curves, surfaces and abelian varieties over fields of positive characteristic.  She joined the collaboration at MIT in Fall 2019 and during 2021-2022 was a postdoc at the Centre de Recherches Mathématiques in Montreal. She is currently an Assistant Professor at Washington University in St. Louis.

Raymond van Bommel

Raymond van Bommel is currently a research scientist at MIT. Previously, he was a research associate at Johannes Gutenberg-Universität Mainz, Germany. Before he obtained his PhD at Universiteit Leiden, The Netherlands, under the supervision of David Holmes and Fabien Pazuki. During this time, he worked on the algorithmic computation of the different numerical invariants surrounding the Birch and Swinnerton-Dyer conjecture, first for hyperelliptic curves and later for non-hyperelliptic curves. He joined the MIT team in 2019.

David Lowry-Duda

David Lowry-Duda’s research interests primarily lie in analytic number theory, and in particular on automorphic forms and L-functions. During his Ph.D., he developed a new approach to study the size and behavior of automorphic forms. He has contributed to data creation for the LMFDB, as well as day-to-day maintenance. Lowry-Duda completed his Ph.D. at Brown University in 2017, worked as a postdoctoral researcher at Warwick Mathematics Institute, and has returned to ICERM at Brown University for his Simons Collaboration appointment.

Francesc Fité

Francesc Fité was a member at the IAS for the 2018-19 academic year. He obtained his Ph.D. in 2011 at Universitat Politècnica de Catalunya. He has been a postdoc in Bielefeld, Essen, and Barcelona. His main research interests are number theory and arithmetic geometry, with special emphasis on the arithmetic and modularity of low dimensional abelian varieties. Fité was a research scientist with the collaboration at MIT from 2019 to 2021. He is currently a Ramón y Cajal Research Fellow at Universitat de Barcelona.

Jan Vonk

Jan Vonk is an assistant professor at the University of Leiden. He obtained his doctorate from the University of Oxford in 2015 and held postdoctoral positions at McGill University, the University of Oxford, and the Institute for Advanced Study. His work focuses on p-adic aspects of arithmetic geometry, in particular applications to explicit class field theory and Diophantine equations.

Nicholas Triantafillou

After graduating from MIT in 2019, Nicholas Triantafillou worked as a postdoctoral fellow at the University of Georgia. His main research interest is in arithmetic geometry, and he is currently working on a project to understand how powerful classical Chabauty’s method is when combined with restriction of scalars and descent techniques.

Joseph H. Silverman

Joseph H. Silverman is a Professor of Mathematics at Brown University, where he has been on the faculty since 1988. He is a recipient of a Sloan Research Fellowship, a Guggenheim Fellowship, and an AMS Steele Prize. His primary research interests are elliptic curves, arithmetic geometry, arithmetic dynamics, and cryptography, and he has also written a number of the standard textbooks in these areas.

David Roe

David Roe’s study of p-adic computation includes work on computing L-functions of varieties, p-adic modular forms and methods for tracking precision. He is also interested in the local Langlands correspondence and p-adic tori. He contributes frequently to Sage, and helped create the LMFDB database of isogeny classes of abelian varieties. David received an S.B. in mathematics and literature from MIT in 2006, completed his Ph.D. at Harvard in 2011, then worked as a postdoctoral fellow at the Universities of Calgary, British Columbia and Pittsburgh before returning to MIT.