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Faculty

Akram AlishahiAkram Alishahi

Associate Professor, Department of Mathematics

Akram joined UGA Department of Mathematics in 2019. Before UGA she worked at Columbia University, Max Planck institute for Mathematics- Bonn and she was a graduate student at Sharif University. Her research interests are low dimensional topology, knot theory and contact and symplectic geometry.

Website and Publications on Arxiv

Jason Cantarella

Professor, Department of Mathematics

Jason joined UGA Department of Mathematics in 2000. Before UGA, he worked at the University of Massachusetts GANG lab, and was a graduate student at the University of Pennsylvania. His research focuses on the shapes of random curves and polygons. He is particularly interested in questions like How likely is it that a random curve is knotted?, or What can we expect from a random diagram of a random space curve? His research is in the general area of geometric knot theory.  He is also interested in the arts, especially in computer graphics and in sculpture. 

Website and Publications on Arxiv

David GayDavid Gay

Professor, Department of Mathematics

Dave joined UGA Department of Mathematics in 2011. Before UGA, he worked at University of Iowa, University of Cape Town, CRM/ISM, University of Arizona, Nankai University, and was a graduate student in UC Berkeley. He studies smooth and symplectic topology of 4-manifolds and the associated 3-dimensional issues. He is also interested in mathematical illustration and outreach, heavily motivated by low-dimensional geometry and topology.

Website and Publications on Arxiv

Peter Lambert-Cole

Assistant Professor, Department of Mathematics

Peter Joined UGA Department of Mathematics in 2020. Before UGA, he worked at Max Planck Institute for Mathematics-Bonn, Georgia Tech, Indiana University and was a graduate student at Louisiana State University. His research interests are  low-dimensional topology and contact and symplectic geometry.

Publications on Arxiv

Gordana MatiC

Professor, Department of Mathematics

Gordana joined UGA Department of Mathematics in 1991. Before joining UGA, she had postdoctoral positions at MIT, Institute for Advanced Study and  Harvard, and was a graduate student at the University of Utah.  Her research interests are 4- and 3-manifolds, contact topology, and Heegaard Floer homology.

Publications on Arxiv

Trent Schirmer 

Senior Lecturer, Department of Mathematics  

Trent joined UGA Department of Mathematics in 2016. Before UGA, he worked at Oklahoma State University and he was a graduate student in University of Iowa. He studyies 3- and 4-dimensional manifolds.  In particular, he is interested in Heegaard splittings of 3-manifolds and trisections of 4-manifolds.

Publications on Arxiv

Michael Usher

Professor and Head, Department of Mathematics

Mike joined UGA Department of Mathematics in 2008. Before UGA, he worked at Princeton University and graduated from MIT. His research is in symplectic topology, in particular symplectic four-manifolds and Lefschetz fibrations, Hamiltonian dynamics, the geometry of symplectic diffeomorphisms and symplectic embeddings, and foundational issues related to filtered Floer and Morse homology.

Website and Publications on Arxiv

Postdocs

Feride Ceren Köse

Limited Term Assistant Professor,  University of Georgia 

Ceren  jointed UGA Department of Mathematics in 2022. Her research interests lie in low-dimensional topology, with particular emphasis on knot theory and 3-manifolds.

Website

Lev Tovstopyat-Nelip

Limited Term Assistant Professor,  University of Georgia 

Lev jointed UGA Department of Mathematics in 2022. His research interests are low-dimensional topology, Heegaard Floer homology, Khovanov homology, mapping class groups, contact and symplectic geometry.

Website

Eduardo FErnandez Fuertes

Limited Term Assistant Professor,  University of Georgia 

Edu joined UGA Department of Mathematics in 2022.  He earned his  PhDfrom  ICMAT - Universidad Complutense de Madrid under the supervision of Francisco Presas. His research lies in the fields of Contact and Symplectic Topology, more precisely in the interplay between the flexible and rigid sides of the field, the topology of the contactomorphism group, Legendrian embedding spaces, etc. He also thinks about diffeomorphism groups and smooth embedding spaces, and how Contact/Symplectic Topology can help to understand these smooth gadgets and vice versa. 

Website

Current Graduate Students

Student Started PhD at UGA Advisor
Alex Tepper 2018 David Gay
Han Lou 2019 Michael Usher
Ye Tian 2020 David Gay
Gary Dunkerly 2021 Akram Alishahi
Isnayni Hadi 2022 David Gay
Connor Novak 2023 Akram Alishahi
     
     

Former Graduate Students

Student Graduated Advisor First Job after Graduating
Nickolas Castro 2016 David Gay UC Davis, Postdoc
Jason Joseph 2020 David Gay Rice University, Postdoc
William Olsen 2020 David Gay U of Virginia, Postdoc
Swapnanil Banerjee 2023 David Gay Industry
Devashi Gulati 2024 Peter Lambert-Cole Industry
Daniel Hartman 2024 David Gay Max Planck Institute, Bonn, Postdoc
Geunyoung Kim 2024 David Gay McMasters University, Posdtoc
Terrin Warren 2024 David Gay California Polytechnic, Postdoc