In the News

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Attention All Undergraduate mathematics majors!

The Institute For Mathematical and Statistical Innovation will host the 3rd BRING MATH workshop will take place October 3-4, 2024.  The workshop will be hosted at Argonne National Laboratory and sponsored by IMSI.  Its purpose is to expose undergraduates to research in mathematics and statistics being done at Argonne and its connections with real world applications, and to educate them about  opportunities related to the mathematical sciences which are available to them, both during summers and longer term.  The workshop is also open to faculty who wish to accompany a group of students to the workshop.  Applications are due by June 28, 2024.  

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The Thirteenth International Workshop on Coding and Cryptography (WCC, 2024)

June 17-21, 2024 in Perugia, Italy

See Call for papers and the Schedule HERE

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More Undergraduate and Graduate Student Opportunities

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More News

 

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Research Areas

The Department of Mathematics and Statistics has an internationally recognized research faculty active in the following areas:

Algebra

Rings, modules, groups and their representations; applications to combinatorial designs and cryptology, computational algebra

Analysis

Harmonic analysis, function and operator theory and their interactions; Sobolev inequalities; inequalities involving the Fourier transform; operators on Banach spaces; ordinary and partial differential equations; stochastic differential systems; vortex and climate dynamics with applications to climatic and financial markets

Combinatorics and Geometry

Enumerative and algebraic combinatorics; graph theory; design theory and applications; finite projective planes and their automorphisms; finite geometries, and Euclidean geometry

Cryptology and Information Security (also visit our CCIS website)

Post quantum cryptography, in particular code-based cryptography, elliptic curve cryptography (isogenies), lattice-based cryptography, multivariate cryptography, zero-knowledge proofs and blockchains, hash-based cryptography.

Dynamical Systems and Control Theory

Nonlinear dynamical systems, computational topological methods, complex dynamical systems, fractal geometry, mathematical theory of control systems, stability analysis

Foundations of Mathematics

Constructive mathematics; set theory; higher computability

Mathematical Biology

Multi-host multi-strain epidemiological models, host immune response, nested immuno-epidemiological dynamics, spatial temporal dynamics in epidemiology, reaction diffusion systems, cell motility, time-since-infection structured partial differential equations, age structured pde's, avian influenza, Ebola

Probability and Statistics

Time-series analysis and regression modeling; parametric and nonparametric function estimation; weak convergence of stochastic processes; environmental statistics and biostatistics

Mathematics Education

Technology in the classroom, integrated curricula, improving performance for pre-calculus mathematics and in mathematics for engineering students