Dr. Anna Maltsev

Lecturer



University of Bristol
Department of Mathematics
Bristol BS8 1SN UK

Office: 2.16

E-mail: Anna.Maltsev@bristol.ac.uk



Research Profile

My research field is mathematical physics. I am currently working in random matrix theory. We recently proved that for Hermitian Wigner matrices the semicircle law holds in expectation on arbitrarily small scales, and we are currently working on a similar result for the 2-point correlation functions. My Ph.D. work was on spectral theory of a Schroedinger operator on the half-line. I proved clock spacing of eigenvalues in a box for a perturbed periodic Schroedinger operator. Furthermore, and unrelated, I model the intracellular calcium signaling in the sinoatrial node cell.


Curriculum Vitae

Research Statement

Publications and preprints in mathematical physics:

·       Local Marchenko-Pastur Law at the Hard Edge of Sample Covariance Matrices, (with C. Cacciapuoti and B. Schlein) to appear in Journal of Mathematical Physics

·       Average Density of States for Hermitian Wigner Matrices, (with B. Schlein), Advances in Mathematics

·       Wegner Estimate for Wigner Matrices, (with B. Schlein), Entropy and the quantum II, AMS.

·       Universality Limits for Half-Line Schroedinger Operator, Communications of Math Physics

Publications in biophysics:

·       A. Maltsev, V. Maltsev, M. Mikheev, L. Maltseva, S. Sirenko, E. Lakatta, M. Stern. Synchoronization of stochastic Ca2+ release units creates a rhythmic Ca2+ clock in cardiac pacemaker cells. Biophysical Journal. 2011.

·       M. Mikheev, A. Solovyev, A. Maltsev, J. Bartels, S. Chang, Q. Mi, Y. Vodovotz. A parallel implementation of an agent-based modeling platform with application in modeling calcium releases in cardiomyocytes. Journal of Critical Care, Volume 24, Issue 3, Pages e21-e21

·       D. Mager, E. Kobrinsky, A. Masoudieh, A. Maltsev, D. Abernethy, N. Soldatov.  Analysis of functional signaling domains from fluorescence imaging and the two-dimensional continuous wavelet transform. Biophysical Journal. 2007. 93:2900-10.

·       D. Mager, E. Kobrinsky, A. Maltsev, N. Soldatov, D. Abernethy. Wavelet-based analysis of FRET microscopy. Biophotonics International. 2005. 12:49-50.

·       Slides of my talk at UCLA

Teaching

      Fall 2011:  Topics in Reproducing Kernels

      Spring 2013: Intro to Quantum Mechanics

      Spring 2013: Random Matrix Theory


 

                                                                               

 

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