Michael A. Burr Curriculum Vitae - Courant Institute of Mathematical ...

Michael A. Burr Curriculum Vitae
Contact
Information
Research
Interests
John Mulcahy Hall 420 Voice (office): (718) 817-3298
Fordham University (home): (617) 894-4796
441 East Fordham Road E-mail: mburr1@fordham.edu
Bronx, NY 10458 Webpage: http://www.cims.nyu.edu/~burr
Algebraic Geometry, Algebraic Topology, Algorithms, and Computational and Discrete Geometry.
Education Courant Institute of Mathematical Sciences, New York University, New York, New York
Employment
History
Research
Experience
Ph.D., Mathematics May, 2010
• Thesis topic: Asymptotic Cohomological Vanishing Theorems and Applications of Real Algebraic
Geometry to Computer Science
• Advisor: Dr. Fedor Bogomolov
M.S., Mathematics January, 2009
Tufts University, Medford, Massachusetts
M.S., Computer Science May, 2006
• Thesis topic: Combinatorial Properties of Simplicial and Halfspace Depth
• Advisor: Dr. Diane L. Souvaine
B.S., Mathematics, Computer Science, and Astrophysics May, 2004
• Thesis topic: Mechanics on Affine Varieties
• Advisor: Dr. Loring Tu
Fordham University, Bronx, New York September, 2010 - Present
Position: Peter M. Curran Visiting Research Instructor
Courant Institute, NYU, New York, New York September, 2005 - May, 2010
Researcher under Dr. Fedor Bogomolov
Topic: Vanishing theorems for asymptotic cohomology
Researcher under Dr. Chee Yap
Topic: Isotopic surface approximation and algorithms
Tufts University, Medford, Massachusetts September, 2002 - May, 2005
Researcher under Dr. Diane L. Souvaine
Topic: Statistical data depth and algorithms
University of Washington, Seattle, Washington June - August, 2003
Researcher under Dr. James Morrow at an REU (research experience for undergraduates)
Topic: Discrete inverse problems on electrical networks
Rose-Hulman Institute of Technology, Terre Haute, Indiana June - July, 2002
Researcher under Allen Broughton at an REU (research experience for undergraduates)
Topic: Tilings of hyperbolic surfaces

Teaching
Experience
Honors and
Awards
Community
Service
Fordham University, Bronx, New York
Instructor September, 2010 - Present
Taught undergraduate level courses in the mathematics department. Responsible for all aspects of
the course
• Calculus for Business, Spring 2011
• Abstract Algebra, Spring 2011
• Finite Mathematics for Business, Fall 2010, Fall 2011
• Finite Mathematics, Fall 2011
Courant Institute, NYU, New York, New York
Instructor June, 2008 - December, 2009
Taught various level classes in the mathematics department. Responsible for lectures, preparing
homework assignments and exams, and grading homework assignments and exams.
• Mathematics for Life: Probability for High School Students, Summer 2008
• Written Workshop: Preparation for the Graduate Comprehensive Exam, Spring 2009
• Theory of Numbers, Fall 2009
Teaching Assistant January, 2006 - May, 2010
Taught undergraduate level recitation sections in the mathematics department. Responsible for
recitation lectures, grading exams, and homework assignments.
• Probability, Statistics and Decision Making, Spring 2006
• Abstract Algebra 2, Spring 2008
• Abstract Algebra 1, Fall 2007, Fall 2008
• Calculus 1, Fall 2006, Spring 2010
Tufts University, Medford, Massachusetts
Grader September, 2001 - May, 2004
Graded homeworks for undergraduate classes in calculus, differential equations, and linear algebra.
Teaching Assistant January, 2003 - May, 2005
Held office hours and graded homeworks for classes in the computer science department.
• Computational Geometry, Spring 2003
• Computational Geometry, Spring 2004
• Computer Science Primer, Summer 2004
• Computational Geometry, Spring 2005
New York University, New York, New York
President’s Service Award, Awarded to the cSplash Program Spring 2008
MacCracken Fellowship September, 2005 - May, 2010
Tufts University, Medford, Massachusetts
Summa Cum Laude with Highest Thesis Honors May, 2004
Phi Beta Kappa May, 2004
National Science Foundation Graduate Student Fellowship Honorable Mention 2004
Benjamin G. Brown Scholarship for excellence in research May, 2004
Ralph S. Kaye Memorial Prize for excellence in mathematics May, 2004
Individually ranked 101th and 158th in the Putnam competitions 2002, 2003
Team ranked 14th in the Putnam competition 2003
cSplash teacher 2005 - 2011
cSplash organizer 2005 - 2010

Revelent
Coursework
cSplash is a festival for motivated high school students to experience advanced mathematics.
Member of the organizing committee, preparing all aspects of the day.
Taught courses on computational origami and non-Euclidean geometry.
Member of undergraduate curriculum committee at Fordham University 2011
Created a capstone course for the math major on the ethical responsibilities in mathematics.
Created the departmental syllabus for discrete mathematics.
PiMuEpsilon and math club advisor at Fordham University 2011
Organized undergraduate level talk.
Helped students find mathematical community service opportunities.
Organizer of the Courant Graduate Student/Postdoc Seminar 2009-2010
Mathematics in the community 2009-2010
Volunteer for Math Midway, a traveling exhibit for the future mathematics museum of New York.
Algebra I and II, Lie Groups, Topology I and II, Characteristic Classes, Differential Geometry I
and II, Basic Number Theory, Algebraic Number Theory, Ergodic Number Theory, and Algebraic
Geometry
Technical Skills Proficient in: C/C++, L ATEX, Matlab, Maple, CGAL, LEDA
Professional
Societies
Member of: AMS and SIAM
Publications Author Locators:
ArXiV: burr m 1 MathSciNet: 821021 ACM: 81430640505
Journal Publications:
M. Burr, E. Rafalin, and D. Souvaine. Dynamic Update of Half-space Depth Contours. Submitted
to Computational Geometry: Theory and Applications. Tufts-CS Technical Report TR-2006-01.
Previous version appeared in Masters Thesis under D. Souvaine 2006.
http://arxiv.org/abs/1109.1517.
M. Burr. Asymptotic Purity for Very General Hypersurfaces of P × P n of Bidegree (k, k). Central
European Journal of Mathematics (In press, 2012).
http://arxiv.org/abs/1104.0726.
M. Burr and F. Krahmer. SqFreeEVAL: An (Almost) Optimal Real-Root Isolation Algorithm.
Journal of Symbolic Computation 47(2) (2012) 131-152.
http://dx.doi.org/10.1016/j.jsc.2011.08.021 http://arxiv.org/abs/1102.5266.
M. Burr, S. Choi, B. Galehouse, and C. Yap. Complete Subdivision Algorithms II: Isotopic Meshing
of General Algebraic Curves. Accepted to Journal of Symbolic Computation 47(2) (2012) 153-166.
Previous version appeared in ISACC 2008.
http://dx.doi.org/10.1016/j.jsc.2011.08.022 http://arxiv.org/abs/1102.5463.
T. Abbott, M. Burr, T. M. Chan, E. D. Demaine, M. L. Demaine, J. Hugg, D. Kane, S. Langerman,
J. Nelson, E. Rafalin, K. Seyboth, and V. Yeung. Dynamic Ham-Sandwich Cuts in the Plane.
Computational Geometry: Theory and Applications 42 (2009) 419-528. Previous versions appeared
in Tufts-CS Technical Report TR-2005-7 and CCCG 2005.
http://dx.doi.org/10.1016/j.comgeo.2008.09.008.
M. Burr, E. Rafalin, and D. Souvaine. Simplicial Depth: An Improved Definition, Analysis, and
Efficiency for the Finite Sample Case. DIMACS Series in Discrete Mathematics and Theoretical

Professional
Experiences
Computer Science volume 72 (2006) 195-209. Previous versions appeared in Masters Thesis under
D. Souvaine 2006, CCCG 2004, and Tufts-CS Technical Report TR-2003-01.
http://www.ams.org/bookstore?fn=20&arg1=dimacsseries&item=DIMACS-72.
M. Burr, A. Cheng, R. Coleman, and D. Souvaine. An Intuitive Approach to Measuring Protein
Surface Curvature. PROTEINS: Structure, Function, and Bioinformatics 61 (2005) 1068-1074.
Previous version appeared in CCCG 2004.
http://dx.doi.org/10.1002/prot.20680
Journal Publications in Preparation:
M. Burr. Asymptotic Purity for Complete Toric Varieties. In preparation.
M. Burr, V. Sharma, and C. Yap. Evaluation-Based Root Isolation. In preparation.
Conference Publications and Technical Reports:
M. Burr, F. Krahmer, and C. Yap. Integral Analysis of Evaluation-Based Root Isolation. Electronic
Colloquium on Computational Complexity 136 (TR09).
M. Burr, A. Lauric, K. Mann. Searching for the Center of an Ellipse. CCCG 2005.
M. Burr. Unique Solutions for the Dirichlet Inverse Problem on Schrodinger Networks. University
of Washington REU archive 2003.
M. Burr and K. Zuhr. Description of the Limiting Surgaces of Hyperbolic Surfaces Tiled by Quadrilaterals.
Rose-Hulman Institute of Technology REU archive 2002.
Presented poster on the vanishing of asymptotic cohomology at the AGNES conference at Stony
Brook. Fall 2011.
Presented work on dynamic algorithms for half space depth at the Geometry Seminar at NYU. Fall
2011.
Organized and presented work on continuous amortization at a minisymposium on subdivision methods
in algebraic geometry at the SIAM conference on Applied Algebraic Geometry. Fall 2011.
Presented work on the vanishing of asymptotic cohomology at the Cummutative Algebra and Algebraic
Geometry seminar at the CUNY Graduate Center. Fall 2011.
Presented work on the vanishing of asymptotic cohomology at the Bogomolov Labratory on Algebraic
Geometry at the Higher School of Economics, Moscow. Summer 2011.
Attended the Algebraic Geometry Northeastern Series workshop. Spring 2011.
Presented work on curve approximations at the Joint Mathematics Meetings. Winter 2011.
Attended the Algebraic Geometry Northeastern Series workshop. Fall 2010.
Presented work on dynamic half-space depth contours at Canadian Mathematical Society summer
meeting. June 2010.
Attended the Summer School in Göttingen: NATO Advanced Study Institute on Higher-Dimensional
Geometry over Finite Fields. June - July, 2007
Attended the Fall Workshop on Computational Geometry. November, 2006
Attended the East Coast Computer Algebra Day. May, 2006
Presented work on dynamic half-space depth contours at the Fall Workshop on Computational Geometry.
November, 2004
Presented work on sphere fitting and simplicial depth at the Canadian Conference on Computational
Geometry. August, 2004
Presented work on simplicial depth at the DIMACS Workshop on Data Depth: Robust Multivariate
Analysis, Computational Geometry and Applications. May, 2003