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CV - Department of Mathematics

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Atilla Yılmaz
Bo˘
gazi¸ci University
Department of Mathematics
34342 Bebek - Istanbul, Turkey
Phone: +90 (212) 359 7536
E-mail: [email protected]
URL: math.boun.edu.tr/instructors/yilmaz/
Personal info
Born in Istanbul, 1980. Turkish citizen. Married.
Research interests
Probability theory and stochastic processes: large deviation theory and its applications, random walks and
polymers in random environments, Markov processes on infinite-dimensional state spaces; related topics from
partial differential equations, statistical mechanics, population dynamics, and computer science.
Academic degrees
2008. Ph.D. in Mathematics, Courant Institute of Mathematical Sciences, New York University.
Thesis title: Large deviations for random walk in a random environment.
Advisor : S. R. Srinivasa Varadhan.
2005. M.S. in Mathematics, Courant Institute of Mathematical Sciences, New York University.
2003. B.S. in Mathematics, high honors, Bo˘gazi¸ci University, Istanbul.
2003. B.S. in Electrical & Electronics Engineering, high honors, Bo˘gazi¸ci University, Istanbul.
1998. High school diploma, Robert College, Istanbul.
Academic employment
2013 –
. Associate Professor, Department of Mathematics, Bo˘gazi¸ci University.
2011 – 2013. Assistant Professor, Department of Mathematics, Bo˘gazi¸ci University.
2009 – 2011. Morrey Assistant Professor, Department of Mathematics, University of California, Berkeley.
2008 – 2009. Postdoctoral Fellow, Department of Mathematics, Weizmann Institute of Science.
2003 – 2008. Research and Teaching Assistant, Department of Mathematics, Courant Institute.
Awards, fellowships and grants
2012 – 2016. Marie Curie Career Integration Grant (100,000 EUR), European Union FP7.
2012. Science Meeting Grant (20,000 EUR), European Science Foundation RGLIS Programme.
2008 – 2009. Feinberg Postdoctoral Fellowship, Weizmann Institute.
2008. Wilhelm Magnus Memorial Prize, Courant Institute.
2003 – 2008. MacCracken Fellowship, New York University GSAS.
2003. Dora Aksoy Award, Department of Mathematics, Bo˘gazi¸ci University.
2003. Rectorate Award, Bo˘
gazi¸ci University.
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Publications and preprints
(O. G¨
un, A. Yılmaz) Fluid and diffusion limits for the Poisson encounter-mating model. Preprint, available
at arXiv:1411.7220.
(F. Rassoul-Agha, T. Sepp¨
al¨
ainen, A. Yılmaz) Variational formulas and disorder regimes of random walks
in random potentials. Submitted to Bernoulli, available at arXiv:1410.4474.
(O. G¨
un, A. Yılmaz) The stochastic encounter-mating model. Submitted to Stochastic Process. Appl.,
available at arXiv:1408.5036.
(N. Georgiou, F. Rassoul-Agha, T. Sepp¨
al¨ainen, A. Yılmaz) Ratios of partition functions for the log-gamma
polymer. To appear in Ann. Probab., available at arXiv:1303.1229.
(F. Rassoul-Agha, T. Sepp¨
al¨
ainen, A. Yılmaz) Quenched free energy and large deviations for random
walks in random potentials. Comm. Pure Appl. Math., 66, 202–244, 2013.
(A. Yılmaz) Harmonic functions, h-transform and large deviations for random walks in random environments in dimensions four and higher. Ann. Probab., 39, 471–506, 2011.
(A. Yılmaz) Equality of averaged and quenched large deviations for random walks in random environments
in dimensions four and higher. Probab. Theory Related Fields, 149, 463–491, 2011.
(A. Yılmaz, O. Zeitouni) Differing averaged and quenched large deviations for random walks in random
environments in dimensions two and three. Comm. Math. Phys., 300, 243–271, 2010.
(A. Yılmaz) Averaged large deviations for random walk in a random environment. Ann. Inst. H. Poincar´e
Probab. Statist., 46, 853–868, 2010.
(A. Yılmaz) Quenched large deviations for random walk in a random environment. Comm. Pure Appl.
Math., 62, 1033–1075, 2009.
(A. Yılmaz) Large deviations for random walk in a space-time product environment. Ann. Probab., 37,
189–205, 2009.
Invited talks at conferences, workshops and seminars
(03/2015) Random Walk in Random Environment Workshop, EURANDOM, NL.
(01/2015) Mathematics Colloquium, Ko¸c University, TR.
(09/2014) Homogenization and Random Phenomena Workshop, Institut Mittag-Leffler, SE.
(11/2013) Colloquium, Institute of Applied Mathematics, METU, TR.
(11/2013) Mathematics Colloquium, Ko¸c University, TR.
(10/2013) Seminar on Stochastic Processes, TU Berlin, DE.
(03/2013) Istanbul Analysis Seminar, TR.
(01/2013) Mathematics Colloquium, Mimar Sinan Fine Arts University, TR.
(05/2012) Analysis Seminar, Bilkent University, TR.
(04/2012) Probability Seminar, Brown University, US.
(02/2012) Stochastics Seminar, University of Utah, US.
(10/2011) Mathematics Department Seminar, Istanbul Bilgi University, TR.
(09/2011) TMD 24th National Mathematics Symposium, Uluda˘g University, TR.
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(07/2011) Conference in Honor of 70th Birthday of S. R. S. Varadhan, National Taiwan University, TW.
(06/2011) Istanbul Statistical Physics Days, Sabancı University, TR.
(02/2011) Interacting Processes in Random Environments Conference, Fields Institute, CA.
(07/2010) Pacific Rim Conference on Mathematics, Stanford University, US.
(06/2010) Mathematics Department Seminar, Bo˘gazi¸ci University, TR.
(06/2010) Mathematics Research Seminar, Ko¸c University, TR.
(06/2010) Mathematics Colloquium, Sabancı University, TR.
(03/2010) Seminar on Stochastic Processes, ETH Z¨
urich, CH.
(03/2010) Probability Seminar, Stanford University, US.
(02/2010) Probability Seminar, University of California, Berkeley, US.
(10/2009) Mathematical Physics and Probability Seminar, University of California, Davis, US.
(06/2009) Random Walks in Random Environments Workshop, University of British Columbia, CA.
(06/2009) Dynamics Seminar, Hebrew University, IL.
(05/2009) Geometric Functional Analysis and Probability Seminar, Weizmann Institute, IL.
(04/2009) Mathematics Seminar, IMBM, TR.
(12/2008) Seminar in Probability and Stochastic Processes, Technion, IL.
(12/2008) Mathematics Colloquium, Sabancı University, TR.
(12/2008) Mathematics Seminar, IMBM, TR.
(12/2008) Mathematics Colloquium, Bo˘gazi¸ci University, TR.
(04/2008) Mathematical Physics Seminar, University of Arizona, US.
(03/2008) Probability and Mathematical Physics Seminar, Courant Institute, US.
(01/2008) Geometric Functional Analysis and Probability Seminar, Weizmann Institute, IL.
(01/2008) Stochastics Seminar, University of Utah, US.
Invited research visits and workshop participations
(08/2015) Department of Mathematics (Fraydoun Rezakhanlou), University of California, Berkeley, US.
(04/2015) Department of Mathematics (Ofer Zeitouni), Weizmann Institute, IL.
(09/2014) Special Semester on Homogenization and Random Phenomena, Institut Mittag-Leffler, SE.
(10/2013) Interacting Random Systems Group (Wolfgang K¨onig), WIAS Berlin, DE.
(06/2013) Workshop on Random Walks, R´enyi Institute, HU.
(04/2012) Division of Applied Mathematics (Paul Dupuis and Kavita Ramanan), Brown University, US.
(02/2012) Department of Mathematics (Firas Rassoul-Agha), University of Utah, US.
(03/2010) Forschungsinstitut f¨
ur Mathematik (H. Mete Soner and Alain-Sol Sznitman), ETH Z¨
urich, CH.
(01/2008) Department of Mathematics (Ofer Zeitouni), Weizmann Institute, IL.
(05/2007) Workshop on Non-Classical Interacting Random Walks, Oberwolfach, DE.
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Teaching experience
Bo˘gazi¸ci University – undergrad level : Calculus for Math Students I; Calculus for Math Students II;
Calculus II (×4); Probability (×2); Statistics (×2).
Bo˘gazi¸ci University – grad level : Real Analysis I (×2); Real Analysis II (upcoming); Probability Theory.
Bo˘gazi¸ci University – Financial Engineering M.S. Program: Mathematics of Uncertainty.
UC Berkeley – undergrad level : Analysis I (×2); Analysis II; Complex Analysis (×2).
UC Berkeley – grad level : Real Analysis I.
Courant Institute – undergrad level : Calculus I.
Courant Institute – grad level : Semester-long workshop on Ph.D. qualifying exams; mini workshop on
Probability for M.S. students in Mathematical Finance (×2).
Courant Institute – TA: Calculus with Applications to Economics; Computers in Biology and Medicine;
Intro to Mathematical Analysis; Complex Variables; Advanced Linear Algebra; Stochastic Calculus (×2);
Stochastic Calculus for M.S. students in Mathematical Finance.
Nesin Mathematics Village & TMD Summer School : Intro to Large Deviations; Poisson Process; Brownian
Motion (upcoming).
Supervision
Ph.D. thesis supervising committees:
(current) U˘
gur K¨
u¸cu
¨k, Advised finite automata. (Advisor: Cem Say, Bo˘gazi¸ci University Department
of Computer Engineering.)
(current) Emel Savku, New advances in stochastic hybrid systems with jumps, their optimization and
applications in the financial sector. (Advisor: Gerhard Wilhelm Weber, METU Institute of Applied
Mathematics.)
M.S. thesis supervision:
(current) Sergazy Nurbavliyev, Disorder regimes of directed polymers in random environments.
(current) Mehmet Yenisey, Large deviations for continuous-time Markov chains.
Senior undergraduate projects:
(2014/S) Bur¸cin Bademci, Linear regression and the Moore-Penrose pseudoinverse.
(2014/S) Neslihan Ba¸saran, Encounter-mating models in population dynamics.
(2014/S) C
¸ i˘
gdem C
¸ in, Two cultures in statistics: Bayesian vs. frequentist.
(2014/S) Seleme Nizam, Information theory meets differential geometry.
(2014/S) Hilal Yıldırım, The dynamic interaction model in population dynamics.
(2013/F) S¨
umeyra Altınok, The Cram´er-Rao theorem and its applications.
(2013/F) Seval Bıkmaz, Prediction and entropy of printed English.
¨
(2013/S) Omer
Aktepe, Large deviations for IID random variables.
(2013/S) Esra D¨
onmez, Kelly’s formula.
(2013/S) Meral Ocak, Importance sampling for rare events.
(2012/F) S¨
umeyra Akın, Record breaking processes.
(2012/F) Ilhan Tatar, The almost sure martingale convergence theorem.
(2012/S) Merve Akdeniz, Google’s PageRank algorithm.
(2012/S) Sergazy Nurbavliyev, The optimal stopping problem.
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Service
2013 –
. Member of the curriculum committee, Department of Mathematics, Bo˘gazi¸ci University.
2012 –
. Advisor of double major students, Department of Mathematics, Bo˘gazi¸ci University.
2012 –
. Member of the admissions committee, Department of Mathematics, Bo˘gazi¸ci University.
2012 –
. Member of the management committee, Istanbul Center for Mathematical Sciences (IMBM).
Professional activities and memberships
2015 –
. Member, Feza G¨
ursey Research Center, Bo˘gazi¸ci University.
2015. Co-organizer, Mini-workshop on Population Dynamics, IMBM.
2015. Member of the scientific committee, TMD 28th National Mathematics Symposium.
2014 –
. Co-founder and co-organizer, S¸irince Summer Schools in Mathematical Physics.
2014. Member of the scientific committee, TMD 27th National Mathematics Symposium.
2014 –
. Co-founder and co-organizer, Ankara-Istanbul Workshops on Stochastic Processes.
2012. Main organizer, International Random Networks & Environments Workshop, IMBM.
2011 –
. Founder and organizer, IMBM Occasional Probability Seminar.
2011 –
. Member, Turkish Mathematical Society (TMD).
2003 –
. Member, American Mathematical Society (AMS).
Referee for the following journals:
Analysis & PDE; Annales de l’Institut Henri Poincar´e (B) Probabilit´es et Statistiques;
Annals of Applied Probability; Communications in Mathematical Physics;
Electronic Communications in Probability; Electronic Journal of Probability;
Hacettepe Journal of Mathematics and Statistics; Journal of Theoretical Probability;
Potential Analysis; Probability Theory and Related Fields;
Stochastic Processes and their Applications; Turkish Journal of Mathematics.
References
S. R. Srinivasa Varadhan, Professor of Mathematics and Frank J. Gould Professor of Science, Courant
Institute of Mathematical Sciences.
E-mail: [email protected]
Ofer Zeitouni, Herman P. Taubman Professor of Mathematics, Weizmann Institute of Science and Global
Distinguished Professor of Mathematics, Courant Institute of Mathematical Sciences.
E-mail: [email protected]
Fraydoun Rezakhanlou, Professor of Mathematics, University of California, Berkeley.
E-mail: [email protected]
Last updated: 22 January 2015
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