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

Thea Rugg

Ph.D. Student

Klarman Hall
dgr77@cornell.edu

Departments and programs

Shi Feng

Ph.D. Student

Klarman Hall
sf599@cornell.edu

Departments and programs

John Smith

Klarman Hall

Departments and programs

Eyvindur Palsson

Visiting Scholar

Publications

  • E. A. Palsson, F. Romero Acosta, A Mattila-Sjölin theorem for triangles, Journal of Functional Analysis, 284 (2023), no. 6, #109814.
  • T. C. Anderson, A. V. Kumchev, E. A. Palsson, Discrete maximal operators over surfaces of higher codimension, La Matematica, 1 (2022), no. 2, 442-479.
  • A. Iosevich, E. A. Palsson, S. R. Sovine, Simplex averaging operators: quasi-Banach and Lp-improving bounds in lower dimensions, Journal of Geometric Analysis, 32 (2022), no. 3, Paper No. 87, 16 pp.
  • E. A. Palsson, S. Senger, A. Sheffer, On the number of discrete chains, Proceedings of the American Mathematical Society, 149 (2021), no. 12, 5347-5358.
  • E. A. Palsson, S. R. Sovine, The triangle averaging operator, Journal of Functional Analysis, 279 (2020), no. 8, #108671.
  • J. DeWitt, K. Ford, E. Goldstein, S. J. Miller, G. Moreland, E. A. Palsson, S. Senger, Dimensional lower bounds for Falconer type incidence theorems, Journal d'Analyse Mathématique, 139 (2019), 143-154.
  • Y. Do, R. Oberlin, E. A. Palsson, Variation-norm and fluctuation estimates for ergodic bilinear averages, Indiana University Mathematics Journal, 66 (2017), no. 1, 55-99.
  • A. Greenleaf, A. Iosevich, B. Liu, E. A. Palsson, A group-theoretic viewpoint on Erdos-Falconer problems and the Mattila integral, Revista Matematica Iberoamericana, 31 (2015), no. 3, 799-810.
Klarman Hall
eap48@cornell.edu

Education

  • Ph.D (2011) Cornell University

Departments and programs

Links

Lauren Childs

Michler Scholar

Publications

  • M. A. Greischar and L. M. Childs (2023) Extraordinary parasite multiplication rates in human malaria infections. Trends in Parasitology, 10.1016/j.pt.2023.05.006.
  • Z. Qu, D. Patterson, L. M. Childs, C. J. Edholm, J. Ponce, O. F. Prosper, and L. Zhao (2023) Modeling Immunity to Malaria with an Age-Structured PDE Framework. SIAP, 10.1137/21M1464427.

  • A. M. Early, F. Camponovo, S. Pelleau, G. C. Cerqueira, Y. Lazrek, B. Volney, M. Carrasquilla, B. Thoisy, C. O. Buckee, L. M. Childs, L. Musset, and D. E. Neafsey (2022) Declines in prevalence alter the optimal level of sexual investment for the malaria parasite Plasmodium falciparum. PNAS, 10.1073/pnas.2122165119.

  • L. M. Childs, D. W. Dick, Z. Feng, J. M. Heffernan, J. Li, G. Rost (2022) Modeling waning and boosting of COVID-19 in Canada with vaccination. Epidemics, 10.1016/j.epidem.2022.100583.

  • M. Walker, K. Chandrasegaran, C. Vinauger, M. A. Robert, L. M. Childs (2021) Modeling the effect of Aedes aegypti's larval environment on adult body mass at emergence. PLOS Computational Biology, 10.1371/journal.pcbi.1009102.

  • C. M. Peak, R. Kahn, Y. H. Grad, L. M. Childs, R. Li, M. Lipsitch, C. O. Buckee (2020) Modeling the comparative impact of individual quarantine vs. active monitoring of contacts for the mitigation of COVID-19. The Lancet Infectious Diseases, doi.org/10.1016/S1473-3099(20)30361-3.

  • R.-M. Carlsson, L. M. Childs, Z. Feng, J. W. Glasser, J. M. Heffernan, J. Li, G. Rost (2020) Modeling the waning and boosting of immunity from infection or vaccination. Journal of Theoretical Biology, doi.org/10.1016/j.jtbi.2020.110265.

  • D. G. Paton, L. M. Childs, M. A. Itoe, I. E. Holmdahl, C. O. Buckee, F. Catteruccia (2019) Exposing Anopheles mosquitoes to antimalarials blocks Plasmodium parasite transmission. Nature, doi.org/10.1038/s41586-019-0973-1

  • N. M. Archer, N. Petersen, M. A. Clark, C. O. Buckee, L. M. Childs, M. T. Duraisingh (2018) Resistance to Plasmodium falciparum in sickle cell trait erythrocytes is driven by oxygen-dependent growth inhibition. PNAS, doi.org/10.1073/pnas.1804388115

  • C. Peak, L. M. Childs, Y. H. Grad, C. O. Buckee, (2017) Comparing nonpharmaceutical interventions for containing emerging epidemics. PNAS, doi:10.1073/pnas.1616438114

  • W. R. Shaw, P. Marcenac, L. M. Childs, C. O. Buckee, F. Baldini, S. P. Sawadogo, R. K. Dabire, A. Diabate, F. Catteruccia, (2016) Wolbachia infection in natural Anopheles populations affect egg laying and negatively correlate with Plasmodium development. Nature Communications, 7:11772. doi:10.1038/ncomms11772

Klarman Hall
lmc74@cornell.edu

Education

  • Ph.D. (2010) Cornell University

Departments and programs

Links

Rachel Webb

Assistant Research Professor

Klarman Hall
320 Malott Hall
rmw263@cornell.edu

Education

  • Ph.D. (2020) University of Michigan

Departments and programs

Daniel Stern

Assistant Professor

Publications

  • Existence of harmonic maps and eigenvalue optimization in higher dimensions (with M. Karpukhin), arXiv preprint, arXiv:2207.13635.

  • Quantization and non-quantization of energy for higher-dimensional Ginzburg—Landau vortices (with A. Pigati), Ars Inveniendi Analytica (2023), Paper No. 3, 55p.

  • From Steklov to Laplace: free boundary minimal surfaces with many boundary components (with M. Karpukhin), arXiv preprint, arXiv:2109.11029.

  • Min-max harmonic maps and a new characterization of conformal eigenvalues (with M. Karpukhin), arXiv preprint, arXiv:2004.04086.

  • Harmonic functions and the mass of 3-dimensional asymptotically flat Riemannian manifolds (with H. Bray, D. Kazaras, and M. Khuri), Journal of Geometric Analysis, vol. 32 (2022).

  • Scalar curvature and harmonic maps to S^1, Journal of Differential Geometry, vol. 122 no. 2 (2022), 259—269.

  • Minimal submanifolds from the abelian Higgs model (with A. Pigati), Inventiones Mathematicae, vol. 223 (2021), 1027—1095.

Klarman Hall
436 Malott Hall
dls432@cornell.edu

Education

  • Ph.D. (2019) Princeton University

Departments and programs

Links

Kelly Pohland

Lecturer

Publications

  • The RO(C3)-graded Bredon cohomology of C3-surfaces in Z/3-coefficients, arXiv preprint at arXiv:2306.03948 (2023)
  • RO(C3)-graded Bredon cohomology and Cp-surfaces, University of Oregon thesis (2022)
  • University of Oregon AWM Chapter: Creation and Evolution. With E. Bellah, S. Frei, and L. Merill, appearing in Fifty Years of Women in Mathematics: Reminiscences, History, and Visions for the Future of AWM (2022)
Klarman Hall
211 Malott Hall
kp588@cornell.edu

Education

  • Ph.D. (2022) University of Oregon

Departments and programs

Yusheng Luo

Assistant Professor

Publications

  • (with R. Lodge and S. Mukherjee) On deformation space analogies between Kleinian reflection groups and antiholomorphic rational maps, Geom. Funct. Anal., 32:1428–1485, 2022.

  • (with R. Lodge and S. Mukherjee) Circle packings, kissing reflection groups and critically fixed anti-rational maps, Forum Math. Sigma, 10: e3, 2022.

  • On geometrically finite degenerations I: boundaries of main hyperbolic components, J. Eur. Math. Soc. (JEMS), to appear, 2021.

  • Trees, length spectra for rational maps via barycentric extensions and Berkovich spaces, Duke Math. J., 171(14): 2943–3001, 2022.

  • Limits of rational maps, R-trees and barycentric extension, Adv. Math., 394:108075, 2021.

  • On the inhomogeneity of Mandelbrot set, Int. Math. Res. Not. IMRN, 2021(8):6051–6076, 2021.

Klarman Hall
430 Malott Hall
yl3769@cornell.edu

Education

  • Ph.D. (2019) Harvard University

Departments and programs

Links

Sungwoo Jeong

H.C. Wang Assistant Professor

Publications

  • A. Edelman and S. Jeong, "The conditional DPP approach to random matrix distributions." arXiv:2304.09139 (2023).

  • A. Edelman and S. Jeong, "Fifty three matrix factorizations: A systematic approach." SIAM Journal on Matrix Analysis and Applications (2023).

  • A. Edelman and S. Jeong, "On the structure of the solutions to the matrix equation G*JG= J." Linear Algebra and its Applications (2022).

  • A. Edelman and S. Jeong, "On the Cartan decomposition for classical random matrix ensembles." Journal of Mathematical Physics 63.6 (2022): 061705. 

Klarman Hall
593 Malott Hall
sj822@cornell.edu

Education

  • Ph.D. (2021) Massachusetts Institute of Technology

Departments and programs

Links

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