Résumé

Profile Image Doctor of Philosophy, May 2014
University of Illinois at Urbana-Champaign
Urbana, IL 61801

Education (Curriculum Vitae)

  • Ph.D. in Mathematics, UIUC
  • M.A. in Mathematics, UGA
  • M.Phil. in Math, UBham
  • B.S. in Physics, UGA
  • B.S. in Mathematics , UGA

Selected Awards


Campus Research Board
Summer 2013, Fall 2013, Spring 2014.

National Security Agency Research Assistantship
Fall 2012, Spring 2013, Summer 2013.

National Science Foundation REGS2 Research Fellowship
Summer 2012, Spring 2013.

National Science Foundation REGS Research Fellowship
Summer 2009, Summer 2010, Summer 2011.

Coding and Programming Skills


Programming languages
CSS git HTML scripting JavaScript jQuery LaTeX2e
PHP Python Red Hat Linux Unix XML


Statistical computing, mathematics and physics software
aviz Discrete Event Simulation Gnuplot Macaulay2 Magma
MathCAD Mathematica Mathematical Modeling Matlab Monte Carlo modeling
Monte Carlo Simulation R Sage

Selected Invited Presentations

July 2014 Modern Applications of Representation Theory, University of Chicago, Chicago, IL. Filtered quiver representations, research presentation.

May 2014 Graduate Student Algebraic Geometry Seminar, University of Illinois, Urbana, IL. Kazhdan-Lusztig polynomials, quiver Hecke algebras, and categorification.

April 2014 Topology and Algebra Research Symposium, University of California, Berkeley, CA. On filtered representations of quivers with at most two pathways and on the generalized Grothendieck-Springer resolution.

April 2014 Graduate Student Topology and Geometry Conference, University of Texas, Austin, TX. Parabolic equivariant geometry in representation theory.

December 2013 Massachusetts Institute of Technology Lincoln Laboratory, Lexington, MA. Applications of filtered quiver varieties in representation theory.

Selected Preprints and Publications

On semi-invariants of filtered representations of quivers and the cotangent bundle of the enhanced Grothendieck-Springer resolution, IDEALS, Doctoral dissertation, 2014.

Semi-invariants of filtered quiver representations with at most two pathways, arXiv: 1409.0702, 2014.

On Kostant's theorem for Lie algebra cohomology, with UGA VIGRE (Vertical Integration of Research and Education) Algebra Group, Contemporary Mathematics, 478 (2009), 39-60.

Selected slides:
May 2014, Alexandria, VA. [slides]
April 2014, University of California, Berkeley, CA. [slides]
April 2014, Doctoral defense, University of Illinois, Urbana, IL. [slides]
December 2013, MIT Lincoln Lab, Lexington, MA. [slides]

Selected Teaching Experiences

University of Illinois:
Math 241, Calculus III, Fall 2008, Fall 2012, discussion sections.
Math 220, Calculus & Mathematica, Fall 2011, instructor.
Math 125, Linear Algebra, Fall 2010, instructor (large lecture).
ECE 310/410 Digital Signal Processing, tutor.
Math 362/ECE 313 Probability with Engineering Applications, tutor.
Phys 508 Mathematical Methods in Physics, tutor.

University of Birmingham:
MSM1Ab, Mathematical Physics B, course assistant.
MSM2Bb, Real and Complex Variable Theory B, course assistant.
MSM2O2b, Statistics II B, course assistant.

University of Georgia:
Math 5210/7210, Euclidean and non-Euclidean Geometry, course assistant.
Phys 1112, Introduction to Electricity and Magnetism II, lab assistant.
Math 2700, Partial Differential Equations, grader.

Selected Workshops

September 1-7, 2014 Geometric Representation Theory, MSRI, Berkeley, CA.

July 20-August 6, 2014 Modern Applications of Representation Theory, University of Chicago, Chicago, IL.

July 5-10, 2014 Higher Representation Theory, NC State University, Raleigh, NC.

June 15-21, 2014 Representation Theory in Data Analysis, Salt Lake City, UT.

April 11-14, 2014 Topology and Algebra Research Symposium, University of California, Berkeley, CA.

January 28-February 2, 2013 Noncommutative Algebraic Geometry and Representation Theory, MSRI, Berkeley, CA.

June 6-10, 2011 Mathematical Aspects of Quantization Conference, University of Notre Dame, Notre Dame, IN.

PORTFOLIO

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