The University of Arizona
Department of Mathematics
617 N. Santa Rita Ave.
Tucson, AZ 85075
Zhelezov Gleb
[email protected]
+1 (520) 626-0410
http://math.arizona.edu/~gzhelezov
Education
P.hD. Mathematics, 2016 (Expected), University of Arizona, Tucson, AZ
• Advisor: Ibrahim Fatkullin
• MS thesis: “Singularities and Particle Coalescence in the Keller-Segel Model”
(defended)
B.S. Physics and Mathematics, Texas A&M University, College Station, TX
Experience
Spring '14 – Present
Research Assistant
Summer '12 – Summer '13
• Studying an interacting particle system, and its relation to the Keller-Segel model
University of Arizona
• Investigating this above system's relation to other, similar PDEs
Tucson, AZ
• Implementing a particle-in-cell numerical method based on the above idea
Summer '08, '09, '10
Summer Intern
Agar Corporation
• Developed and implemented multiphase (gas/liquid) flow models
Houston, TX
• Performed physical experiments to validate models
August '08 – May '10
Student Technician
Texas A&M University
• Developed a Monte Carlo parameter fitter for an experimental high energy physics
College Station, TX
lab
Summer '07
Summer Intern
Tohoku University
• Worked in a condensed matter physics lab studying the theory of carbon nanotubes
Sendai, Japan
• Participated in the NSF-funded NanoJapan Research Experience for Undergraduates
Conferences & Schools
October '14
University of Maryland
College Park, MD
Summer '14
MSRI
Berkeley, CA
Young Researchers Workshop: “Multiscale Phenomena: Modeling, Analysis and
Computation”
• Talk: “Coalescing Diffusion in the Keller-Segel Model”
Summer School: “Stochastic Partial Differential Equations”
• Topics covered: Fluctuation theory of PDEs with random coefficients, ergodic theory
of SPDEs, exact solvability of SPDEs
Conference: “Collective Behavior: Macroscopic versus Kinetic Descriptions”
19 – 23 May '14
Imperial College London
London, England
12 – 16 May '14
Spring School: “Microscopic Descriptions and Mean-Field Equations in Physics and
University of Bath
Social Sciences”
Bath, England
• Poster presentation: “Coalescing Diffusion in the Keller-Segel Model”
04 – 07 May '14
Summer School: “Dynamics and Numerics for Non-local PDEs and Related Equations
Iowa State University in the Physical and Biological Sciences”
Ames, IA
13 – 21 May '13
Summer School: “Houston Summer School on Dynamical Systems”
University of Houston
• Final project and presentation: “Escape Rates and Conditionally Invariant Measures”
Houston, TX
Presentations
CSCAM, University of
Maryland
•
Coalescing Diffusion in the Keller-Segel Model (Young researchers workshop
“Multiscale phenomena: modeling, analysis and computation,” 31 October 2014)
University of Bath
•
Coalescing Diffusion in the Keller-Segel Model (Poster presentation at “Spring
School on Non-local PDEs,” 14 May 2014)
University of Arizona
•
Finite-time Blow-up in the Parabolic Keller-Segel System (Analysis Seminar, 29
April, 2014)
Presentations
University of Arizona
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Relevant Coursework
August '10 – Present
University of Arizona
Coalescing Diffusion in the Keller-Segel Model (Modeling and Computation
Seminar, 13 March, 2014)
How to change the world: The power of mass point geometry and interactive
mathematics (2014 Mathematics Educator Appreciation Day, Tucson, AZ)
Singularities and Coalescence in the Keller-Segel Model (Grad Colloquium, 04
September, 2013)
Solving PDEs Using Bacteria (Grad Colloquium, 06 March, 2012)
An Introduction to Hardy Spaces (RTG Mini-Conference, 08 December, 2011)
Basics of Combinatorial Geometry (Grad Colloquium, 01 December, 2010)
PDEs, Probability, Stochastic Equations of Mathematical
Statistical Mechanics, Real &
Processes, Monte Carlo
Physics, Dynamical Systems, Complex Analysis, Applied
Methods, SDEs,
Functional Analysis,
Complex Analysis
Teaching Experience
Spring '15
August '10 – Spring '14
University of Arizona
Spring '14
University of Arizona
Mathematical Modeling Mentor
• Currently mentoring a group of three upper-level students in understanding and
numerically investigating the Cucker-Smale and Tadmor-Motsch flocking models.
Instructor, Teaching Assistant
• Teaching Assistant for Real Analysis of a Single Variable (Fall '13), and Real
Analysis of Several Variables (Spring '14)
• Instructor of record for Calculus I (Fall '13), Pre-Calculus (Spring '12),
Trigonometry (Fall '10, '11), web-based Trigonometry (Summer '13)
Mathematical Modeling Mentor
• Mentored a group project of five upper-level students in understanding, reproducing
and extending the results of “Search on the Brink of Chaos” by Yu. Baryshnikov and
V. Zharnitsky, Nonlinearity, 25 (2012). Topics covered: stochastic processes, Monte
Carlo simulation
Outreach and Service
Spring '14
University of Arizona
Fall '13 – Present
University of Arizona
14 – 20 August '12
University of Arizona
Fall '10 – Present
University of Arizona
June '09, '10
Texas A&M University
Graduate and Professional Student Council Travel Grant Judge
• Scored and ranked applications from different departments for GPSC travel grants
Math Department Graduate Colloquium Organizer
• Recruit speakers and coordinate the weekly graduate student colloquium
Calculus Workshop for Incoming Freshmen
• Assisted in a program for preparing incoming freshmen for university-level calculus
Math Circle Volunteer
• Leading and assisting in an after-school math enrichment program for high school
students. One of these projects was presented at the 2014 MEAD conference
SMaRT (Math) Camp Counselor
• NSF-supported math camp for mathematically-talented high school students
• Led two daily problem sessions and graded daily homework
Awards
Summer '14
University of Arizona
Fall '10
University of Arizona
Graduate and Professional Students Council Travel Grant
• Partial funding ($500) for summer conference travel expenses
Graduate College Fellowship
• Partial funding to halve teaching load