Christian G. Benes
Associate Professor
Mathematics
Location: 1119a Ingersoll Hall
Phone: 718.951.5000 x2733
Fax: 718.951.4674
Email:
Christian Benes spent his time as a graduate student at the Institut Mittag-Leffler in Sweden, Cornell University and Duke University. He spent three years as an assistant professor at Tufts University before joining Brooklyn College in 2007.
Education:
Ph.D., Duke University - 2004 (Mathematics)
M.A., Duke University - 2000 (Mathematics)
B.S., University of Geneva - 1998 (Mathematics)
Areas of Expertise:
The bulk of Benes' research is in probability. More specifically, he is interested in properties of a discrete process called random walk and its continuous analogue, Brownian motion, as well as in a related process called the Schramm-Loewner evolution.
Books and Publications
Rates of convergence for the planar discrete Green's function in Pacman domains. Electronic Journal of Probability, Volume 26 (2021), paper no. 41, 1-14 (Books and Publications: Article (Peer-reviewed)) 2021
A Local Limit Theorem and Loss of Rotational Symmetry of Planar Symmetric Simple Random Walk, in Transactions of the American Mathematical Society, Volume 371, Number 4, February 2019, pp. 2553-2573 (Books and Publications: Article (Peer-reviewed)) 2019
Transition probabilities for infinite two-sided Loop-Erased Random Walks, with Gregory F. Lawler and Fredrik Viklund. Electronic Journal of Probability, Volume 24 (2019), paper no. 139, 22 pp. (Books and Publications: Article (Peer-reviewed)) 2019
Scaling limit of the loop-erased random walk Green's function (with G. Lawler and F. Viklund), Prob. Theory and Related Fields 166:271-319, 2016 (Books and Publications: Article (Peer-reviewed)) 2016
Benes, C., F. Johansson Viklund and M. Kozdron. "On the Rate of Convergence of Loop-Erased Random Walk to SLE(2)." Communications in Mathematical Physics 318: 307-54. (Books and Publications: Article (Peer-reviewed)) 2013
"Counting Planar Random Walk Holes." Annals of Probability 36.1: 91-126. (Books and Publications: Article (Peer-reviewed)) 2008
Benes, Christian, Angelo Sassaroli, Yunjie Tong and Sergio Fantini. "Data Analysis and Statistical Tests for Near-Infrared Functional Studies of the Brain." Proc SPIE 6850, 685008; DOI:10.1117/12.761707. (Books and Publications: Article (Other)) 2008
"Some Estimates for Planar Random Walk and Brownian Motion." http://arxiv.org/abs/math.PR/0611127. (Books and Publications: Article (Other)) 2007
Awards, Honors and Fellowships
PSC-CUNY Award # 65449-00 53. $4551 (Grants and Fellowships) 2022
Simons Foundation Collaboration Grant for Mathematicians; Award Number 851226; $42,000; 2021-2026
(Grants and Fellowships) 2021
PSC-CUNY Award # 61514-00 49. $4530 (Grants and Fellowships) 2018
PSC-CUNY Award #67591-00 45. $4,248. (Grants and Fellowships) 2014
PSC-CUNY Award #66548-00 44. $3,990. (Grants and Fellowships) 2013
Simons Center Grant, to attend the Workshop on Conformal Invariance. (Grants and Fellowships) 2013
Mathematical Sciences Research Institute grant, to attend the Workshop on Statistical Mechanics and Conformal Invariance. (Grants and Fellowships) 2012
PSC-CUNY Award # 65516-00 43. $3,990. (Grants and Fellowships) 2012
Brooklyn College Award for Excellence in Teaching. (Awards and Honors) 2011
New Faculty Fund Award. $622. (Grants and Fellowships) 2011
PSC-CUNY Award #64610-00 42. $5987.95. (Grants and Fellowships) 2011
New Faculty Fund award. $827. (Grants and Fellowships) 2010
PSC-CUNY Award # 63405-00 41. $3,325. (Grants and Fellowships) 2010
CUNY Faculty Fellowship Publication Program. (Grants and Fellowships) 2009
Mathematisches Forschungsinstitut Oberwolfach for the Research in Pairs Program grant, for "The Rate of Convergence of Loop-Erased Random Walk to SLE(2)." (Grants and Fellowships) 2009
National Science Foundation grant to attend the 33rd Conference on Stochastic Processes and Their Applications in Berlin. (Grants and Fellowships) 2009
PSC-CUNY Award # 62408-00 40. $2,960. (Grants and Fellowships) 2009
Banff International Research Station grant, to organize The Rate of Convergence of Loop-Erased Random Walk to SLE(2) workshop. (Grants and Fellowships) 2008
National Science Foundation grant to attend the 28th Seminar on Stochastic Processes at the University of Delaware. (Grants and Fellowships) 2008
New Faculty Fund Award. $657. (Grants and Fellowships) 2008
PSC-CUNY Award # 60130-38 39. $2,960. (Grants and Fellowships) 2008
Research Activities
Referee for "Journal of Statistical Physics". 2023
Brooklyn College Mathematics Colloquium (Conferences, Seminars and Symposiums: Invited Talk) 2021
Chair of Committee on Course and Standing, Brooklyn College, 2022-2023 (Professional Leadership: Committee Service) 2022
Honors thesis supervision, Brooklyn College: "Modeling the Spread of Disease on Lattices" 2021
Grant reviewer, PSC-CUNY Research Foundation 2023
Grant reviewer, PSC-CUNY Research Foundation 2021
Referee for "Stochastic Processes and their Applications". 2021
Grant Reviewer, National Science Foundation 2019
Grant reviewer, PSC-CUNY Research Foundation 2019
Referee for Mathematical Intelligencer 2019
Grant reviewer, PSC-CUNY Research Foundation. 2018
Referee, American Mathematical Monthly 2018
Grant reviewer, PSC-CUNY Research Foundation. 2017
Grant reviewer, PSC-CUNY Research Foundation. 2016
Referee, Annals of Probability 2016
Referee,
Referee, American Mathematical Monthly. 2012
Referee, Electronic Communications in Probability. 2012
Grant reviewer, PSC-CUNY Research Foundation. 2010
Referee, Journal of Physics A. 2010
Referee, Annals of Probability. 2009
Conferences, Seminars and Symposiums
2019 Summer Meeting of the Canadian Mathematical Society, Regina, SK (Conferences, Seminars and Symposiums: Invited Talk) 2019
"Where Planar Simple Random Walk Loses its Rotational Symmetry". Probability Seminar, CUNY Graduate Center (Conferences, Seminars and Symposiums: Invited Talk) 2017
"The Scaling Limit of the Loop-Erased
Random Walk Edge Intensity". U. Penn/Temple U. Probability Seminar. (Conferences, Seminars and Symposiums: Invited Talk) 2016
"The Scaling Limit of the Loop-Erased Random Walk Edge Intensity." Sectional Meeting of the American Mathematical Society, North Dakota State University. (Conferences, Seminars and Symposiums: Invited Talk) 2016
"The Scaling Limit of the Loop-Erased
Random Walk Edge Intensity." Probability Seminar, CUNY Graduate Center. (Conferences, Seminars and Symposiums: Invited Talk) 2015
"Where Planar Simple Random Walk Loses its Rotational Symmetry." Geometry of random walks and SLE: a birthday conference for Greg Lawler, Newton Institute, Cambridge, UK. (Conferences, Seminars and Symposiums: Invited Talk) 2015
"The Art of Problem-Solving." Faculty Day. Brooklyn College. (Conferences, Seminars and Symposiums: Contributed Talk) 2014
"A Rate of Convergence for SLE." Probability Seminar. Peking University, China. (Conferences, Seminars and Symposiums: Invited Talk) 2012
"The Schramm-Loewner Evolution." CEMAPRE Seminar. Technical University of Lisbon (Portugal). (Conferences, Seminars and Symposiums: Invited Talk) 2012
"A Rate of Convergence for SLE." Mathematical Physics Seminar. University of Arizona. (Conferences, Seminars and Symposiums: Invited Talk) 2011
"An Introduction to the Schramm-Loewner Evolution" two-talk series. CUNY Probability Seminar. New York. (Conferences, Seminars and Symposiums: Invited Talk) 2011
"A Rate of Convergence for SLE." CUNY Probability Seminar. (Conferences, Seminars and Symposiums: Invited Talk) 2010
"A Rate of Convergence for SLE." Probability Seminar. University of Delaware. (Conferences, Seminars and Symposiums: Invited Talk) 2010
"The Schramm-Loewner Evolution." Colloquium. Tufts University. (Conferences, Seminars and Symposiums: Invited Talk) 2010
"The Rate of Convergence of Loop-Erased Random Walk to SLE(2)." 33rd Conference on Stochastic Processes and Their Applications. Berlin. (Conferences, Seminars and Symposiums: Contributed Talk) 2009
"A Large Deviations Estimate for Simple Random Walk via a Sharp LCLT." 7th World Congress in Probability and Statistics. Singapore. (Conferences, Seminars and Symposiums: Contributed Talk) 2008
"Some Properties of the Complement of Planar Random Walk." Probability Seminar. New York University. (Conferences, Seminars and Symposiums: Invited Talk) 2008
"Some Properties of the Complement of Planar Random Walk." Probability Seminar. University of Geneva. (Conferences, Seminars and Symposiums: Invited Talk) 2008
"Some Properties of the Complement of Planar Random Walk." Probability Seminar, CUNY Graduate School and University Center. (Conferences, Seminars and Symposiums: Invited Talk) 2007
Professional Leadership
Appointments Committee Member, Brooklyn College Mathematics Department, 2021-2024 (Professional Leadership: Committee Service) 2021
Member of Committee on Course and Standing, Brooklyn College, 2021-2022 (Professional Leadership: Committee Service) 2021
Member. Selection committee for the Outstanding Undergraduate Student Mentor, Brooklyn College (Professional Leadership: Committee Service) 2021
Member, Appointments Committee,Department of Mathematics, 2018-2021 (Professional Leadership: Committee Service) 2018
Member, Selection Committee for the Award for Excellence in Teaching for a Full-time Faculty Member. (Professional Leadership: Committee Service) 2017
Member, Appointments Committee, Department of Mathematics, 2015-2018 (Professional Leadership: Committee Service) 2015
Judge, Greater New York Math Fair. (Professional Leadership: Public Service) 2014
Member, Appointments Committee, Department of Mathematics, 2014-15. (Professional Leadership: Committee Service) 2014
Member, Academic Foundations Committee, 2013-15. (Professional Leadership: Committee Service) 2013
Member, Selection Committee for the Award for Excellence in Teaching for a Full-time Faculty Member. (Professional Leadership: Committee Service) 2013
Chairman, Committee on Prizes and Awards, Mathematics Department, Brooklyn College, 2012-15. (Professional Leadership: Committee Service) 2012
Member, Committee on Actuarial, Financial, and Applied Math, Mathematics Department, Brooklyn College, 2012-15. (Professional Leadership: Committee Service) 2012
Member, Committee on Committees, Mathematics Department, Brooklyn College, 2012-15. (Professional Leadership: Committee Service) 2012
Member, Curriculum Committee, Mathematics Department, Brooklyn College, 2012-15. (Professional Leadership: Committee Service) 2012
Chairman, Committee on Prizes and Awards, Mathematics Department, Brooklyn College, 2009-12. (Professional Leadership: Committee Service) 2009
Member, Committee on Committees, Mathematics Department, Brooklyn College, 2009-12. (Professional Leadership: Committee Service) 2009
Member, Committee on Seminars and Research, Mathematics Department, Brooklyn College, 2009-12. (Professional Leadership: Committee Service) 2009
Member, Committee on Space and Facilities, Mathematics Department, Brooklyn College, 2009-12. (Professional Leadership: Committee Service) 2009
Other Professional Activities
"Random Fractals." Presentation to the Brooklyn College Math Club. 2014
"Random Walk and Other Lattice Models." Presentation to the Brooklyn College Math Club. 2013
"Random Fractals." Presentation to the Brooklyn College Math Club. 2012
External assessor for NSF DUE grant # 0942670. 2012
"A Random Stroll Through Random Lattice Models." Presentation to the Brooklyn College Math Club. 2011
Doctoral committee member, Tufts University. 2010
Local organizer, Ninth Northeast Probability Seminar. 2010
"Some Simple Models from Probability." Presentation to Brooklyn College Math Club. 2009
Doctoral committee member, Tufts University. 2008
"Some Random Lattice Models." Presentation to Brooklyn College Math Club. 2007
