Curriculum Vitae
Roman Kogan
Contact information
Name: Roman Kogan
E-mail: romwell@gmail.com
Address: Blocker 619
roman.kogan@math.tamu.edu
Department of Mathematics
Web: http://www.math.tamu.edu/~romwell/
Mailstop 3368
Texas A&M University
College Station, TX 77843-3368
Education
• Sept 2010-current: Ph.D. program in Mathematics, Texas A&M University.
• Sept 2005 - May 2010: SUNY Stony Brook University, B.Sc. in Mathematics.
(Minor: Computer Science)
Work experience
• Summer 2014 Microsoft (Redmond, WA)
SNaP team - SDN - Virtual switch configuration protocol and database server scalability study (under Felix Maxa).
Research Interests
• Geometric Group Theory (Grigorchuk group, automata groups, Thompson group and
its generalizations);
• Knot Theory (finite type invariants, Khovanov homology, Legendrian knots);
• Computational Algebraic Geometry (amoebas and their topological properties);
• Computational Geometry and Topology.
Mathematical software
• NvTrees: computations and visualizuation in Thompson groups nV [link];
• ChordDiagrams: finds a basis for the space of chord diagrams of links [link].
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Publications
• Metric Estimates and Membership Complexity for Archimedean Amoebae and Tropical
Hypersurfaces, with Martin Avendano, Mounir Nisse, and J. Maurice Rojas.
Accepted for presentation at MEGA 2013.
Available at http://www.math.tamu.edu/~rojas/k.pdf
• On a Basis for the Framed Link Vector Space Spanned by Chord Diagrams, with Brian
Bischof and David Yetter.
Journal of Knot Theory and Its Ramifications - JKTR , vol. 18, no. 12, 2009.
Available at http://arxiv.org/pdf/0801.3253
Undergraduate Research Experience
• Spring 2010: Independent study @ SUNY Stony Brook
– Research topic: Legendrian Knots: a simpler proof of Bennequin’s theorem
– Advisor: prof. Olga Plamenvskaya
• Summer 2009: MASS REU program @ Penn State University
– Research topic: Legendrian Knots
– Advisor: prof. Sergei Tabachnikov
• Summer 2008: REU @ Cornell University: Collin Bleak’s group
– Research topic: Conjugacy problem in multi-dimensional Thompson groups nV
– Advisors: Prof. Collin Bleak & Francesco Matucci
– Software developed: Multidimensional Thompson Groups Calculator
• Summer 2007: REU @ Kansas State University: Brainstorming and Barnstorming
– Research Topic: Bases of the space of Vassiliev invariants of links
– Advisor: Prof. David N. Yetter
– Paper: see the Publications section above On a Basis for the Framed Link Vector
Space Spanned by Chord Diagrams (with Brian Bischof and David Yetter)
– Software developed: ChordDiagrams
(Note: requires Mathematica core to run)
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Talks and Presentations
• March 2014: Talk: Getting Closer To Amoebas. Graduate Student Seminar, Texas
A&M Mathematics department
• April 2010: Poster: Proving Bennequin Inequality from Knot Diagrams. EURECA
Poster session, SUNY Stony Brook
• April 2010: Poster: Algorithms and Software for Computation in n-dimensional
Thompson group. Garden State Undergraduate Mathematics Conference
• August 2007: Talk: An Orbital Basis for the Framed Link Vector Space of Chord
Diagrams (with B. Bischof). Young Mathematician’s Conference at Ohio State University.
Workshops ans Summer Schools
• Fall Workshop in Computational Geometry - November 2011
• IMA 2011 PI Summer Graduate Program: Topological Methods in Complex Systems
- July 2011
• Texas Algebraic Geometry Symposium - April 2011
• Fall Workshop in Computational Geometry - October 2010
Teaching Experience
• Graduate Teaching Assistant, Texas A&M University
– Spring 2012, 2013, 2014: MAT 152 (Calculus II with MATLAB)
Duties: Lab and recitation TA: conducting recitations, making and grading
weekly quizzes, grading MATLAB assignments.
– Fall 2013: MAT 361 (Euclidean and Non-Euclidean geometry, grading)
– Fall 2012: MAT 439 (Differential Geometry, grading)
– Fall 2011: MAT 151 (Calculus I with MATLAB)
Duties: Lab and recitation TA.
• Undergraduate Teaching Assistant, SUNY Stony Brook
– Spring 2008: AMS 345 (Computational geometry, SUNYSB)
Duties: Grading homework and exams.
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– Fall 2006: CSE 150 (Foundations of Computer Science Honors, SUNYSB)
Duties: Recitation TA; writing and grading homework assignments.
Competitions
• 2009 ACM ICPC World Finals
Team Honorable Mention
• 2008 ACM ICPC Greater NY region
– My team has won the competition, beating all (graduate and undergraduate)
teams in the region (Columbia University, Yale, NYU, Cornell, etc.)
• 2005 Putnam
– Honorable Mention: score of 49 with 73rd place nationwide
• Stony Brook Problem of the Month prize
– Received the award multiple times
Programming Languages
Java, C# .NET, Mathematica, Matlab, Maple, C.
Spoken Languages
English, Russian, Ukrainian.
Membership
American Mathematical Society.
References
Available upon request.
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