Keivan Mallahi Karai

Dr. Keivan Mallahi Karai

Analysis on groups and homogenous spaces with applications
School of Science
Constructor University Bremen gGmbH, Campus Ring 1 28759 Bremen Germany
Phone number
+49 421 200-3513
Fax number
49 421 200-3103
Email Address
kmallahikarai@constructor.university
Office
Research I, Room 108
Research Interests

Analysis on groups, dynamics of group actions and probability theory

Today’s modern world hinges on waves, such as in telecommunications, national power grids, or even aerospace. Developing new tools and deepening our mathematical understanding of waves can broaden their applications. Harmonic analysis is a branch of mathematics dealing with representing wave-like objects as a combination of simpler waves with different frequencies. This powerful tool has its roots in the concept of Fourier series discovered in the groundbreaking work of Joseph Fourier in 1822. Fourier suggested that a periodic wave can be decomposed into pure harmonic waves. Ever since this discovery, this idea has been applied to a large variety of problems in analysis and geometry. Keivan Mallahi-Karai investigates harmonic analysis in a number of settings.

Selected Publications

Minimal dimension of faithful representations for p-groups

M Bardestani, K Mallahi-Karai, H Salmasian

Journal of Group Theory 19 (4), 589-608

On the Erdős–Ko–Rado property for finite groups

M Bardestani, K Mallahi-Karai

Journal of Algebraic Combinatorics 42 (1), 111-128

Stochastic methods for modeling decision-making

A Diederich, K Mallahi-Karai

New handbook of mathematical psychology: Modeling and measurement, 1-70

Hedging, Pareto optimality, and good deals

H Assa, KM Karai

Journal of Optimization Theory and Applications 157 (3), 900-917

Decision with multiple alternatives: Geometric models in higher dimensions—the cube model

K Mallahi-Karai, A Diederich

Journal of Mathematical Psychology 93, 102294

Kirillov's orbit method and polynomiality of the faithful dimension of -groups

M Bardestani, K Mallahi-Karai, H Salmasian

arXiv preprint arXiv:1712.02019

Asymptotic distribution of values of isotropic quadratic forms at -integral points

J Han, S Lim, K Mallahi-Karai

arXiv preprint arXiv:1605.02490

Decision with multiple alternatives: Geometric models in higher dimensions—the disk model

K Mallahi-Karai, A Diederich

Journal of Mathematical Psychology 100, 102493

Future exchange rates and Siegel's paradox

K Mallahi-Karai, P Safari

Global Finance Journal 37, 168-172

Some applications of arithmetic groups in cryptography

D Kahrobaei, K Mallahi-Karai

Groups Complexity Cryptology 11 (1), 25-33

On a generalization of the Hadwiger–Nelson problem

M Bardestani, K Mallahi-Karai

Israel Journal of Mathematics 217 (1), 313-335

Quasi-Random profinite groups

M Bardestani, K Mallahi-Karai

Glasgow Mathematical Journal 57 (1), 181-200

On the chromatic number of structured Cayley graphs

M Bardestani, K Mallahi-Karai

arXiv preprint arXiv:1511.02427

Optimal Linear Sofic Approximations Of Countable Groups

K Mallahi-Karai, MM Yekta

arXiv preprint arXiv:2112.10111

Amenability of trees

B Forghani, K Mallahi-Karai

Groups, Graphs and Random Walks 436, 176

Faithful representations of Chevalley groups over quotient rings of non-Archimedean local fields

M Bardestani, C Karimianpour, K Mallahi-Karai, H Salmasian

arXiv preprint arXiv:1403.3722

Polynomiality of the faithful dimension of nilpotent groups over finite truncated valuation rings

M Bardestani, K Mallahi-Karai, D Rumintsau, H Salmasian

arXiv preprint arXiv:2204.12412

Asymptotic distribution for pairs of linear and quadratic forms at integral vectors

J Han, S Lim, K Mallahi-Karai

arXiv preprint arXiv:2111.06139

Positive harmonic functions of transformed random walks

B Forghani, K Mallahi-Karai

arXiv preprint arXiv:1610.04573

Compactifications of horospheric products

B Forghani, K Mallahi-Karai

L’Enseignement Mathématique

 

University Education

  • Ph.D. in Mathematics.
    Yale University, May 2006

  • B.Sc. in Mathematics.
    Sharif University of Technology, February 1999

Work Experience

Wissenschaftlicher Mitarbeiter

Universität Bonn

Jun 2006 - Aug 2006 · 3 mos