Research Associates, Lecturers, and Fellows

• Eran Assaf

  • Research Associate
  • 334 Kemeny Hall
  • eran.assaf@dartmouth.edu
  • Field theory and polynomials; Algebraic geometry; Number theory
  • website
  • about
    My research interests are in algebraic number theory, in particular the Langlands program, which is a part of the greater effort to understand the deep connection between representations of Galois groups and representations of the adelic points of corresponding reductive algebraic groups. This intricate connection is established by considering the action of the Galois group on geometric objects and their moduli spaces.

  
• Zhen Chen

  • Research Associate
  • 209 Kemeny Hall
  • zhen.chen@dartmouth.edu

  
• Olivia J. Chu

  • Neukom Fellow
  • 311 Kemeny Hall
  • olivia.j.chu@dartmouth.edu
  • Mathematical biology; Game theory, economics, social and behavioral sciences; Biology and other natural sciences, behavioral sciences
  • about
    I am a Neukom Postdoctoral Fellow in the departments of mathematics and sociology. My research focuses on the dynamics of human behavior and in particular, the effects that different forms of heterogeneity have on these dynamics. I use a combination of mathematical modeling (including evolutionary game theory and opinion dynamics models), computational simulations, and data collection and analysis. I employ these methods to study group-structured populations and the interplay between behavior, personality, group memberships, and interactions, with applications to the evolution of cooperation, social integration, and polarization. Before coming to Dartmouth, I received my Ph.D. in Quantitative and Computational Biology from Princeton, and my B.A. in Mathematics from NYU.
    

  
• Jan Glaubitz

  • Lecturer and Research Associate
  • 209 Kemeny Hall
  • jan.glaubitz@dartmouth.edu
  • Numerical analysis; Approximations and expansions; Scientific computing; Numerical conservation laws; shock capturing; numerical integration; image reconstruction
  • website
  • about
    I am a postdoctoral researcher in the working group of Anne Gelb at the Department of Mathematics, Dartmouth College. My research focuses on numerical analysis and high-order methods for hyperbolic conservation laws. Before joining Dartmouth, I completed my mathematical studies (B.Sc., 2014, M.Sc., 2016, Dr. rer. nat., 2019) at TU Braunschweig in Germany.

  
• Jihun Han

  • Research Associate
  • 209 Kemeny Hall
  • jihun.han@dartmouth.edu
  • Machine learning; Scientific computing; Mathematical biology

  
• Avinash A. Kulkarni

  • Research Associate
  • 334 Kemeny Hall
  • avinash.a.kulkarni@dartmouth.edu
  • Arithmetic algebraic geometry (Diophantine geometry); Local ground fields in algebraic geometry; Integral geometry
  • about
    My research is in algebraic geometry and number theory, with an emphasis on computational methods. Number theorists often like to think about equations like “when is the square of a whole number equal to the cube of another whole number plus one?” Algebraic geometry tries to recast these kinds of questions in terms of geometry. For the question mentioned before, one obtains something known as an elliptic curve. One can then ask questions about how geometric features relate to the original arithmetic questions. My research concerns how features like the length, volume, or number of holes, can be used to compute information about the solutions to arithmetic questions.
    
    In my spare time, I enjoy playing the guitar, hiking, and cooking.

  
• Tongtong Li

  • Research Associate
  • 209 Kemeny Hall
  • tongtong.li@dartmouth.edu

  
• Jack Petok

  • Lecturer
  • 320 Kemeny Hall
  • jack.petok@dartmouth.edu
  • Algebraic geometry; Number theory
  • about
    My research interests lie somewhere between algebraic geometry and number theory. I like thinking about problems that concern classical varieties using modern techniques from algebra and number theory. I completed my PhD at Rice University under the direction of Anthony Várilly-Alvarado; in my thesis, I studied the birational geometry certain moduli spaces of hyperkähler manifolds, with a view towards Diophantine questions on K3 surfaces and hyperkahler varieties. I've also done some work on rational points on modular curves (part of Mazur's "Program B"). These days, I've been thinking about new variants on some classical constructions of Brauer classes from quadric bundles.

  
• Ciaran Schembri

  • Research Associate
  • 334 Kemeny Hall
  • ciaran.schembri@dartmouth.edu
  • Number theory
  • about
    My research interests are in algebraic number theory. A central object in number theory are geometric objects which also have the structure of an abelian group. My research focuses on these objects, especially those with many symmetries, and the moduli spaces which parameterise them. Much of my work is informed by computational methods.

  
• Alice Schwarze

  • Research Associate
  • 342 Kemeny Hall
  • alice.c.schwarze@dartmouth.edu

  
• Zhao Song

  • Research Associate
  • 342 Kemeny Hall
  • zhao.song@dartmouth.edu

  
• John W. Welborn

  • Lecturer
• C. M. Mike Wong

  • Lecturer and Research Associate
  • 320 Kemeny Hall
  • wong@math.dartmouth.edu
  • Low-dimensional topology; Floer theory; contact geometry
  • website
  • about
    My primary interest is in low-dimensional topology, and specifically cobordisms of 3-manifolds, knots, links, and tangles. The main tools that I use are various versions of Floer homology and related invariants. I have also been exploring the connections between Floer theory and contact geometry.