Nikita Kalinin
clickable links: Contacts personal web-page gmail.com, nikaanspb SPbU hse Citizenship: Russia. mathscinet profile ORCID zbmath Birthday: May 6, 1988. РИНЦ web of science scopus google scholar arxiv
Interests: tropical geometry, algebraic geometry, complex analysis, hyperbolic geometry, sandpiles, knots, number theory, graph theory, matroids, non-commutative geometry, auctions, teaching, mathematics in sociology and biology, pattern formation, history of mathematics and education.
Current position
September Associate professor (доцент), Department of Mathematics and Computer Science, 2019 Saint Petersburg University, Russia September (partially affiliated) Senior Researcher (старший научный сотрудник) in the 2017 International Laboratory of Game Theory and Decision Making, Saint Petersburg branch of HSE (National Research University Higher School of Economics), Russia.
Education 2015 PhD in Mathematics, University of Geneva Thesis topic: “Tropical geometry for Nagata’s conjecture and Legendrian curves" Advisor: Grigory Mikhalkin 2010 Specialist (=master) in Mathematics, Saint Petersburg University, Russia Thesis topic: “The Alexander polynomial as an intersection of two cycles in a symmetric power” Advisor: Oleg Viro 2005 Lyceum 239, Saint Petersburg. From 6th to 11th year in school I was in a mathematical circle (the teacher: A.S. Golovanov)
Positions
July 2016 – August 2017, A holder of a Switzerland grant PostDoc.Mobility, obtained to accomplish two research projects (non-commutative toric geometry and power laws in sandpiles) in CINVESTAV (Centro de Investigaci´ony de Estudios Avanzados), Mexico City. Hosting professor is Ernesto Lupercio.
1 Honors, Awards, and Grants
2020 Russian Science Foundation grant №20-71-00007, Scaling in sandpile models, 2020- 2022 2017 Young Russian Mathematics grant holder, 2018 – 2020 2016 PostDoc.Mobility Switzerland grant, 1.07.2016 – 31.08.2017 2014 Travel grant of UniGe for LERU Summer school “Sharing Excellence - The Value of Knowledge Exchange” in Oxford 2005 Gold medal at the International Mathematic Olympiad
Consulting
2019 Consulting participants in Russian quota auctions (crab)
Industrial Experience
2016 Parallel computations on supercomputer Xiuhcoatl, CINVESTAV 2008-2011 Programmer and mathematician, modelling in biology, GGA Software Consulting programmers about statistics and biology
Teaching Experience
Symplectic topology, Introduction to homotopy theory, Game theory, Introduction to homology theory, General topology, SPbU, St. Petersburg Algebra and analysis (for sociologists), Game theory (for economists), Topological data analysis (for programmists) HSE, St. Petersburg Courses on sandpiles and tropical geometry, CINVESTAV, Mexico City, Chebyshev Laboratory, St. Petersburg, Contemporary mathematics school for students, Dubna Analyses 1, Complex Analysis (assistant; in French),Characteristic classes (assistant; in English), M´ethodes ´el´ementaires (for the program Athena: about forty school students joined the course for 3rd year university students), University of Geneva Differential topology, Introduction to tropical geometry (PhysMathClub, PDMI), St. Petersburg Tutor of a math circle (2005-2011, High school 239), St. Petersburg
Service 2020 Senior Coordinator on International Mathematical Olympiad 2020 2020 Editor of a book about St. Petersburg mathematicians 2020 Organiser of a program for talented students in Sirius
2 Talks 11-13.09.2020 “Sandpile pattern”, HSE, Autumn online school "Applications of topology and geometry". 14.07.2020 “Linear patterns in sandpile model on a plane”, Leipzig, zoom conference. 13-16.04.2020 MIPT, zoom conference, Combinatorics and geometry days, 2 16-17.12.2019 Анализ, геометрия и математическая физика СПб два доклада по тропиче- ским формам 26.11.2019 доклад на “Combinatorics and geometry days” 9.10.2019 Gokova Eudoksos conference 2.07.2019 “New mechanism for infinite repeated posted price auction without discounting”, Turku, Finland, 15.11.2018 “The origin of the formulae for pi from sandpile problems”, HSE Moscow, 28.09.2018 “Tropical geometry and summation over SL(2,Z)”, MIPT, Moscow 27.06.2018 “Scaling limits in sandpile models and summation by a part of SL(2,Z)”, Ascona, Switzerland 22.06.2018 “Tropical sandpile: patchworking geometry and arithmetic”, Belalp, Switzerland 13.02.2018 “Tropical series”, Institut Mittag-Lefler, Stockholm 03.12.2017 “Sandpile identity”, Algebraic geometry in Mexico, Puerto-Escondido 31.05.2017 “Power law in the (tropical) linearized sandpile model”, Tropical working group seminar, Geneva 22.12.2016 “A new formula for the number π”, Workshop on algebraic geometry, Hanga Roa (Easter Island), Chile 23.11.2016 “Tropical curves and where they dwell”, D´ıatropical, Curnavaca, Mexico 4.11.2016 “Tropical differential forms”, Algebraic Geometry in Mexico, los Cabos 28.09.2016 “A new formula for π”, Samuel Gitler Memorial Conference 2016, Mexico City 9.05.2016 “Tropical singular points”, Global singularity theory and curves, Lausanne 26.11.2015 “Mathematical sandpiles”, Escuela de Oto˜node Topolog´ia, CINVESTAV, Mexico City 18.11.2015 “Tropical curves in sandpiles”, BIRS-CMO, Sandpile groups, Oaxaca, Mexico 05.11.2015 “Tropical geometry in sandpiles, singularity theory and Legendrian geometry”, Edinburg geometry seminar 30.03.2015 “Tropical legendrian curves”, Tropical Geometry in Europe, Technische Universit¨at Berlin 13.02.2015 “Tropical geometry in Nagata’s conjecture and sandpile models”, colloquium talk, CUSO, Lausanne 11.04.2014 “Tropical geometry in questions around Nagata’s conjecture”, S´eminaires de l’´equipe G´eom´etrie, Universit´ede Savoie 18.03.2014 “Tropical approach to Nagata’s conjecture in positive characteristic”, Complex- algebraic aspects of tropical geometry, Centre Interfacultaire Bernoulli, Lausanne 13.12.2013 “Tropical approach to Nagata’s conjecture”, Seminari de Geometria Algebraica Universitat de Barcelona/Universitat Polit´ecnicade Catalunya
3 Papers
Mathematics 2020 Sandpile Solitons via Smoothing of Superharmonic Functions, Communications in Mathematical Physics, 378(3), 1649-1675 (joint with M. Shkolnikov) 2019 Tropical formulae for summation over a part of SL(2, Z), European Journal of Mathematics, Volume 5, Issue 3, 909-928 (joint with M. Shkolnikov) 2018 Legendrian curves in CP 3: cubics and curves on a quadratic surface, Zapiski Nauchnyh Seminarov PDMI, vol. 476 (2018), Geometry and Topology Series 13, 92-110 (Journal of Mathematical Sciences, 251(4), 489-502) 2018 Introduction to tropical series and wave dynamic on them, Discrete and continuous dynamical systems, A, 2018, 38(6): 2843-2865 (joint with M. Shkolnikov) 2017 The number π and summation by SL(2, Z), Arnold Mathematical Journal, Volume 3, Issue 4, 511-517 (joint with M. Shkolnikov) 2017 Tropical approach to Nagata’s conjecture in positive characteristic, Discrete and Computational Geometry, 58(1), 158-179 2016 Sandpiles on the heptagonal tiling, Knot Theory and Its Ramifications, Vol. 26, Issue 12, 1642005 (joint with M. Shkolnikov) 2016 Tropical curves in sandpiles, Comptes Rendus Mathematique, Volume 354, Issue 2, 1 February 2016, 125-130 (joint with M. Shkolnikov) 2016 The Newton polygon of a planar singular curve and its subdivision, Journal of Combinatorial Theory, Series A, 137, 226 - 256 2015 The Alexander polynomial as an intersection of two cycles in a symmetric power, Journal of Knot Theory and Its Ramifications, Vol. 24, No. 12, 1550061 Miscellanea 2021 Различные равновесия в теоретико-игровой модели поведения преподавателя и (возможно) списывающего студента на письменном экзамене, Социология: методология, методы, математическое моделирование (Социология: 4М), вып. 50-51, стр. 97-140. 2020 Pattern Formation and Tropical Geometry, Frontiers in Physics, 2020 (8), 423 2020 Strategic analysis of the Russian crab quota auction in 2019, Marine Policy,Volume 122, December 2020, 104266, (joint with Mark Vershinin) 2020 Как учить университетской математике онлайн?, Математическое образова- ние, 3 (95), 25-32 2020 Как учить социологов математике, Математическое просвещение. Третья серия, вып. 25, 143-154 2019 О Санкт-Петербургской заочной олимпиаде по топологии, Математическое просвещение. Третья серия, вып. 24, 151-158 2018 Self-Organized Criticality and Pattern Emergence through the Lens of Tropical Geometry, PNAS August 28, 2018. 115 (35) E8135-E8142 (joint with A. Guzm´an- S´aenz,Y. Prieto, M. Shkolnikov, V. Kalinina, E. Lupercio)
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