The Department of Mathematics at Cornell University is known throughout the world for its distinguished faculty and stimulating mathematical atmosphere. Approximately 40 tenured and tenure-track faculty represent a broad spectrum of current mathematical research both theoretical and applied. The faculty interests cover the core areas of algebra, topology, geometry and analysis, as well as probability theory, mathematical statistics, dynamical systems, mathematical logic and numerical analysis.

The graduate program combines study and research opportunities for more than 70 graduate students from many different countries. The undergraduate program includes a mathematics minor and a flexible mathematics major with seven different concentrations. In addition, the department offers a wide selection of courses for all types of users of mathematics.

The department also engages in community outreach, providing a variety of programs for local high school students and teachers.

Department website

Kihoon Seong

H.C. Wang Assistant Professor

Publications

  • Phase transition of singular Gibbs measures for three-dimensional Schrödinger-wave system, arXiv:2306.17013
  • Focusing Gibbs measures with harmonic potential (with T. Robert, L. Tolomeo, Y. Wang), arXiv:2212.11386
  • Transport of Gaussian measures under the flow of one-dimensional fractional nonlinear Schrödinger equations (with J. Forlano), Comm. Partial Differential Equations, 47 (2022), no. 6, 1296-1337.
  • Invariant Gibbs dynamics for the two-dimensional Zakharov-Yukawa system, arXiv:2111.11195
  • A remark on Gibbs measures with log-correlated Gaussian fields (with T. Oh, L. Tolomeo), arXiv:2012.06729
  • Quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schrödinger equation in negative Sobolev spaces (with T. Oh), J. Funct. Anal. 281 (2021), no. 9, 109150, 49 pp.

     
Klarman Hall
590 Malott Hall
ks2443@cornell.edu

Education

  • Ph.D. (2022) KAIST

Departments and programs

Links

Matthew Haulmark

Visiting Assistant Professor

Publications

  • Haulmark M., Hruska G. C., On canonical splittings of relatively hyperbolic groups, To appear, Israel Journal of Mathematics (31 pages)

  • Haulmark M., Schreve K., Minimal volume entropy of RAAG’s, Bulletin of the LMS 55 (2023), no. 2, 879-885 (6 pages)

  • Dani P., Haulmark M., Walsh G., Right-angled Coxeter groups with non-planar boundary, Groups, Geometry, and Dynamics 17 (2023) 127-155 (28 pages)

  • Haulmark M., Mihalik M., On relatively hyperbolic groups with semistable peripherals, International Journal of Algebra and Computation 32 (2022) no. 4, 753-783

  • Haulmark M., Mihalik M., Piecewise visual, linearly connected metrics on boundaries of relatively hyperbolic groups, J. of Topology and Analysis Vol 0 (2021) no. 0, 1-47

  • Haulmark M., Nguyen H., Tran H.C., On the relative hyperbolicity and manifold structure of certain right-angled Coxeter groups, International Journal of Algebra and Computation 30 (2020) no.3 501-53

  • Haulmark M., Hruska G. C., Sayathe B., Non-hyperbolic groups with Menger curve boundary, L’Enseignement Mathématique (2) 65 (2019) 207-220

  • Haulmark M., Local cut points and splittings of relatively hyperbolic groups, Algebraic & Geometric Topology, 19-6 (2019), 2795–2836

  • Haulmark M., Boundary classification and 2-ended splittings of groups with isolated flats, Journal of Topology, 11(3):645-665 (2018)

Klarman Hall
401 Malott Hall
mrh286@cornell.edu

Education

  • Ph.D. (2017) University of Wisconsin-Milwaukee

Departments and programs

Links

Mark Poor

H.C. Wang Assistant Professor

Publications

  • A Shelah group in ZFC (with A. Rinot), \url{https://arxiv.org/abs/2305.11155},  submitted.

  • Singularity of maps of several variables and a problem of Mycielski concerning prevalent homeomorphisms (with R. Balka, M. Elekes, V. Kiss),  Adv. Math. 385, 2021.

  • Characterizing the spectra of cardinalities of branches of Kurepa trees (with S. Shelah), Pac. J. Math.  311. no. 2, pp. 423–453. 2021.

  • A Haar meager set that is not strongly Haar meager (with M. Elekes, D. Nagy,  Z. Vidnyánszky), Israel J. Math. 235, pp 91-109., 2020.

  • Answer to a question of Ros\l{}anowski and Shelah,  J. Math. Log. 21. no. 3, 2021.

  • Cardinal invariants of Haar null and Haar meager sets (with M. Elekes), P. Roy. Soc. Edinb. A. 151, no. 5,  pp. 1568 - 1594. 2021.

     

Klarman Hall
591 Malott Hall
mp2264@cornell.edu

Education

  • Ph.D. (2021) Eötvös Loránd University

Departments and programs

Yunan Yang

Goenka Family Assistant Professor in Mathematics

Publications

  • Efficient natural gradient descent methods for large-scale PDE-based optimization problems (with L. Nurbekyan and W. Lei), in press for SIAM Journal on Scientific Computing (2023).
  • Neural Inverse Operators for Solving PDE Inverse Problems (with R. Molinaro, B. Engquist, and S. Mishra), The 40th International Conference on Machine Learning (2023).
  • Optimal transport for parameter identification of chaotic dynamics via invariant measures (with L. Nurbekyan, E. Negrini, R. Martin, and M. Pasha), SIAM Journal on Applied Dynamical Systems 22, no. 1 (2023): 269-310.
  • Optimal transport based seismic inversion: Beyond cycle skipping (with B. Engquist), Communications on Pure and Applied Mathematics 75, no. 10 (2022): 2201-2244.
  • Adjoint DSMC for nonlinear Boltzmann equation constrained optimization (with R. Caflisch and D. Silantyev), Journal of Computational Physics 439 (2021): 110404.
  • The quadratic Wasserstein metric for inverse data matching (with B. Engquist and K. Ren), Inverse Problems 36, no. 5 (2020): 055001.
  • Application of optimal transport and the quadratic Wasserstein metric to full-waveform inversion (with B. Engquist, J. Sun, and B. F. Hamfeldt), Geophysics 83, no. 1 (2018): R43-R62.
Klarman Hall
582 Malott Hall
yunan.yang@cornell.edu

Education

  • Ph.D. (2019) University of Texas at Austin

Departments and programs

Links

Baran Zadeoglu

Ph.D. Student

Klarman Hall
bz333@cornell.edu

Education

  • M.Sc. (2023) University of Bonn, Mathematics
  • B.S. (2020) Bilkent University, Mathematics

Departments and programs

Elly O‘Brien

Graduate Field Coordinator

Klarman Hall
316 Malott Hall
emo75@cornell.edu
607/2548993

Departments and programs

Links

Jamol J. Pender

Associate Professor

Klarman Hall
228 Rhodes Hall
jjp274@cornell.edu

Departments and programs

Tongrui Wang

Visiting Scholar

Klarman Hall

Education

  • Ph.D. (2022) Westlake University

Departments and programs

Jun Michael Ling

Visiting Professor

Publications

  • The square of Nijenhuis tensor and its vanishing results, Asian-European Journal of Mathematics, volume 15 (2022), no 8.
  • (joint with X.~Cao, S.~Hou) Estimate andmonotonicity of the first eigenvalue under Ricci Flow, Math. Ann. volume 354 (2012), pages 451–463. 
  • Estimates on the lower bound of the first gap, Comm.  Anal. Geometry, volume 16 (2008), no 3  539-563.
  • The first eigenvalue of a closed manifold with positive Ricci curvature, Proc. Amer. Math. Soc., volume 134  (2006), no. 10, 3071-3079.
Klarman Hall

Education

  • Ph.D. (1999) SUNY at Buffalo

Departments and programs

Nick Genovese

Graduate Field Coordinator

Klarman Hall

Departments and programs

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