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Geometry and Topology

Description
Research activity in this area includes:
  • In differential geometry the current research involves submanifolds, symplectic and conformal geometry, as well as affine, pseudo-Riemannian, Riemannian and complex geometry and Riemannian geometry of infinite-dimensional manifolds.
  • In the area of geometric topology the emphasis is on low dimensional manifold theory, Kleinian groups and related decision problems. Areas of special interest include braid theory, 3-manifolds and hyperbolic orbifolds, normal surface theory, group actions on manifolds, and applications of computational topology to computer animation, scientific visualization and engineering design.
  • In algebraic geometry: equations of algebraic varieties and syzygies, varieties with torus actions, and interactions with combinatorics. Gromov-Witten theory, stability conditions, wall-crossing and interactions with string theory.
  • In geometric analysis: heat kernel analysis on Lie groups and Riemannian manifolds, metric diophantine properties of the geodesic flow on a hyperbolic Riemann surface.

Active Faculty Members

Abe, Kinetsu Emeritus
Office: MSB M419b/c (Storrs) Phone: (860)486-8380
Email: abe@math.uconn.edu
Webpage:  http://www.math.uconn.edu/~abe  
Research: Riemannian Geometry, Complex Manifolds and Computational Geometry/Topology

Abikoff, William Professor
Office: MSB M210 (Storrs) Phone: (860)486-2003
Office Hours: My office hours areMon 1-2, Thursday 2-3 and by appointment. My availability on Thursdays will vary till the end of February. It is best to check before making a trip.
Email: abikoff@math.uconn.edu
Webpage:  http://www.math.uconn.edu/~abikoff  
Research: Complex and geometric analysis, Teichmueller theory, Kleinian groups and Mathematical aspects of computer graphics

Bayer, Arend Assistant Professor (On Leave)
Office: MSB M206 (Storrs) Phone: (860)486-4237
Office Hours: Tuesdays 2pm, Thursdays 3pm, and by appointment.
Email: arend.bayer@uconn.edu
Webpage:  http://www.math.uconn.edu/~bayer  
Research: Algebraic Geometry

Gordina, Maria Professor
Office: MSB M304 (Storrs) Phone: (860)486-2158
Office Hours: by appointment
Email: maria.gordina@uconn.edu
Webpage:  http://www.math.uconn.edu/~gordina  
Research: Analysis and probability in infinite dimensions, geometric analysis, differential geometry, mathematical physics

Haas, Andrew H. Professor
Office: MSB M306 (Storrs) Phone: (860)486-4328
Office Hours: Tu 12--1, Wed 11--12 and by appointment
Email: haas@math.uconn.edu
Webpage:  http://www.math.uconn.edu/~haas  
Research: Kleinian Groups, Diophantine Approximation and Ergodic Theory

Hering, Milena Assistant Professor (On Leave)
Office: MSB M322 (Storrs) Phone: (860)486-3120
Office Hours: Monday 11-11:30. Tuesday and Thursday 10:45 - 11:45, or by appointment.
Email: hering@math.uconn.edu
Webpage:  http://www.math.uconn.edu/~hering  
Research: Algebraic Geometry, Combinatorics

Huang, Lan-Hsuan Assistant Professor
Office: MSB M424 (Storrs) Phone: (860)486-8390
Office Hours: 10:45AM - 11:45AM on Tuesday and Thursday
Email: lan-hsuan.huang@uconn.edu
Webpage:  http://www.math.uconn.edu/~lanhsuan  
Research: Differential Geometry

Laetsch, Thomas Assistant Professor in Residence
Office: MSB M308 (Storrs) Phone: (860)486-3927
Office Hours: Math 1152: T 11:00--12:15, W 1:30--3:00; Math 3160: W & F 12:00--1:00
Email: thomas.laetsch@uconn.edu
Webpage:  http://www.math.uconn.edu/~laetsch  
Research: Probability, Geometry, and Mathematical Physics

Lin, Chen-Yun Postdoctoral Fellow
Office: MSB M324 (Storrs) Phone: (860)486-4344
Office Hours: Tuesdays 8-10am and Thursdays 9-10am
Email: chen-yun.lin@uconn.edu
Webpage:  http://www.math.uconn.edu/~chenyun  
Research: Differential Geometry

McGavran, Dennis Associate Professor
Office: WTBY 312 (Waterbury) Phone: (203)236-9860
Office Hours: MWF 10:45 am-11:15 am W 12:30 pm-1:00 pm
Email: dennis@math.uconn.edu
Webpage:  http://www.math.uconn.edu/~dennis  
Research: Topology

Munteanu, Ovidiu Assistant Professor
Office: MSB M208 (Storrs) Phone: (860)486-4003
Office Hours: MWF 11:00-12:00
Email: ovidiu.munteanu@uconn.edu
Webpage:  http://www.math.uconn.edu/~munteanu  
Research: Differential Geometry

Peters, Thomas Professor
Office: ITEB 231 (Storrs) Phone: (860)486-5045
Email: tpeters@engr.uconn.edu
Webpage:  http://www.engr.uconn.edu/~tpeters/  
Research: Computational topology, Computational geometry, computer graphics, Point Set topology
Joint Appointment: Computer Science and Engineering, School of Engineering

Tollefson, Jeffrey L. Professor
Office: MSB M224 (Storrs) Phone: (860)486-3921
Office Hours: Mon & Wed 2:00:-12:45 or email for appt.
Email: tollefson@math.uconn.edu
Webpage:  http://www.math.uconn.edu/~tollefson  
Research: Low-dimensional Topology, Group Actions on Manifolds

Wilkins, Leonard Postdoctoral Fellow
Office: MSB M412 (Storrs) Phone: (860)486-6322
Email: leonard.wilkins@uconn.edu
Webpage:  http://www.math.uconn.edu/~wilkins  
Research: Differential Geometry

Wu, Damin Associate Professor
Office: UB 113 (Hartford) Phone: 
Office: MSB M206 (Storrs) Phone: (860)486-4237
Email: damin.wu@uconn.edu
Research: Differential Geometry

Yin, Weidong Postdoctoral Fellow
Office: MSB M232 (Storrs) Phone: (860)486-1282
Office Hours: Monday 4:15pm~5:15pm; Wednesday 3:00pm~4:00pm; Thursday 12:00pm~1:00pm.
Email: weidong.yin@uconn.edu
Webpage:  http://www.math.uconn.edu/~weidong  
Research: Differential Geometry