CURRICULUM VITAE. Ivan Loseu 1.

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1 CURRICULUM VITAE Ivan Loseu 1. Contents 1. Contact information Personal information 1 3. Education 1 4. Employment Research interests 2 6. Publication list 2 7. Teaching experience 4 8. Talks 5 9. Grants, awards, and distinctions Languages Professional activities 9 i.loseu@neu.edu 1. Contact information. 2. Personal information Born: October, 18, 1981, Minsk, Republic of Belarus, USSR. Permanent address: , 2nd pereulok Bagrationa, Minsk , Belarus. Address in the U.S.: 61 Fayette Str. apt 1, Cambridge MA 02139, USA. Marital status: Single. Citizenship: Belarus, US permanent resident. 3. Education : M.SC., Belarusian State University, Department of Applied Mathematics and Computer Science, diploma cum laud : graduate student, Moscow State University, Department of Mechanics and Mathematics, Chair of Higher Algebra : graduate student, Independent University of Moscow. I obtained my PhD degree in October, 2007, at the Moscow State University. Thesis advisor: Prof. E.B. Vinberg. 1 Loseu is the transliteration of my family name from Belarusian to English. This variant appears in my passport and is the only version used officially. Usually I use the transliteration from Russian, which is Losev. The reason is that people who do not know Russian or Belarusian spell the Belarusian variant incorrectly. 1

2 2 CURRICULUM VITAE Thesis title: Classification of some coisotropic actions of algebraic groups. 4. Employment. starting Sep. 2011: Tenure track Associate Professor, Northeastern University, Department of Mathematics. Jul Jun. 2011: CLE Moore instructor, Massachusetts Institute of Technology, Department of Mathematics. Nov May 2008: Engineer-programmer, Belarusian State University, Department of Applied Mathematics and Computer Science. 5. Research interests Representation theory, Algebraic transformation groups, Hamiltonian actions, Deformation quantization. 6. Publication list Publications in refereed journals. [1] I.V. Losev. Coisotropic representations of reductive groups. Trudy Mosc. Mat. Ob-va, 66(2005), p (in Russian). English translation in: Trans. Moscow Math. Soc. (2005), [2] I.V. Losev. Symplectic slices for reductive groups. Mat. Sbornik 197(2006), N2, p (in Russian). English translation in: Sbornik Math. 197(2006), N2, [3] I.V. Losev. On complex weakly commutative homogeneous spaces. Trudy Mosc. Mat. Ob-va, 67(2006), (in Russian). English translation in: Trans. Moscow Math. Soc. (2006), [4] I.V. Losev. Computation of the Cartan spaces of affine homogeneous spaces. Mat. Sbornik, 198(2007), (in Russian). English translation in: Sbornik Math. 198(2007), no 10, arxiv:math.ag/ v2. [5] I.V. Losev. Classification of weakly commutative complex homogeneous spaces. Usp. Mat. Nauk 62(2007) N2, (in Russian). [6] I.V. Losev. Combinatorial invariants of algebraic Hamiltonian actions. Moscow Math. J. 8(2008), arxiv:math.ag/ [7] I.V. Losev. Uniqueness property for spherical homogeneous spaces. Duke Math J., 147(2009), n.2, arxiv:math.ag/ [8] I.V. Losev. Proof of the Knop conjecture. Ann. Inst. Fourier, 59(2009), n.3, arxiv:math.ag/ [9] I.V. Losev. Demazure embeddings are smooth. Int. Math. Res. Not, 14(2009), arxiv: [10] I.V. Losev. Lifting central invariants for quantized Hamiltonian actions. Moscow Math J. 9(2009), arxiv: [11] I.V. Losev. Computation of weight lattices of G-varieties. J. Math Sci 161(2009), N1, arxiv: v1. [12] I. Losev. Classification of multiplicity free Hamiltonian actions of complex tori on Stein manifolds. J. Sympl. Geom 7(2009), N3, arxiv: [13] I.V. Losev. Algebraic Hamiltonian actions, Math. Z. 263(2009), arxiv:math. AG/

3 CURRICULUM VITAE 3 [14] I.V. Losev. Embeddings of homogeneous spaces into irreducible modules. J. Algebra 322 (2009), , arxiv:math.rt/ [15] I.V. Losev. On fibers of algebraic invariant moment maps. Transformation Groups, 14(2009), arxiv:math. AG/ [16] I.V. Losev. Quantized symplectic actions and W -algebras. J. Amer. Math. Soc. 23(2010), arxiv: [17] I.V. Losev. Computation of Weyl groups of G-varieties. Representation Theory (electronic) 14(2010), arxiv: [18] I. Losev. On invariants of a set of elements of a semisimple Lie algebra. J. Lie Theory, 20(2010), arxiv:math.rt/ [19] I. Losev. An appendix to: P. Etingof, T. Schedler, Poisson traces and D-modules on Poisson varieties, GAFA 20(2010), arxiv: [20] I. Losev. On the structure of the category O for W-algebras. Séminaires et Congrès 24(2013), arxiv: [21] I. Losev. Parabolic induction and 1-dimensional representations for W-algebras. Adv. Math. 226(2011), 6, arxiv: [22] I.V. Losev. Finite dimensional representations of W-algebras. Duke Math J. 159(2011), n.1, arxiv: [23] I. Losev, Completions of symplectic reflection algebras. Selecta Math., 18(2012), N1, arxiv: [24] I. Losev, Primitive ideals in W-algebras of type A. J. Algebra, 359 (2012), arxiv: [25] I. Losev, Isomorphisms of quantizations via quantization of resolutions. Adv. Math. 231(2012), arxiv: [26] I. Losev, On isomorphisms of certain functors for Cherednik algebras. Repres. Theory, 17 (2013), arxiv: Preprints. [27] I.V. Losev. The Kempf-Ness theorem and Invariant theory. Preprint (2006), arxiv:math. AG/ [28] I.V. Losev. Computation of combinatorial invariants of G-varieties. Preprint (2006), available at: (in Russian). 2 [29] I. Losev, Quantizations of nilpotent orbits vs 1-dimensional representations of W- algebras. arxiv: [30] I. Gordon, I. Losev, On category O for cyclotomic rational Cherednik algebras. arxiv: Accepted by J. Eur. Math. Soc. [31] I. Losev, Highest weight sl 2 -categorifications I: crystals. arxiv: Accepted by Math. Zeitschrift. [32] I. Losev, V. Ostrik, Classification of finite dimensional irreducible modules over W- algebras. arxiv: [33] I. Losev, Highest weight sl 2 -categorifications II: structure theory. arxiv: [34] I. Losev, Towards multiplicities for cyclotomic rational Cherednik algebras. arxiv: [35] I. Losev, Dimensions of irreducible modules over W-algebras and Goldie ranks. arxiv: [36] I. Losev, B. Webster, On uniqueness of tensor products of irreducible categorifications. arxiv: Contains the results of [11],[15],[17] together with some additional results 3 This preprint is replaced by arxiv:

4 4 CURRICULUM VITAE [37] I. Losev, On Procesi bundles. arxiv: [38] P. Etingof, E. Gorsky, I. Losev, Representations of Cherednik algebras with minimal support and torus knots. arxiv: [39] I. Losev, Proof of Varagnolo-Vasserot conjecture on cyclotomic categories O. arxiv: In preparation. [40] I. Losev, A. Tsymbaliuk, Infinitesimal Cherednik algebras as W-algebras. Expository and review texts. [41] I. Losev. Quantized Hamiltonian actions of reductive groups and their applications. In Fundamental mathematics in the work of young scientists. Moscow, MCCME, 2009, p [42] I. Losev. Uniqueness properties for spherical varieties. 4 Les cours de CIRM, Annee 2010, , arxiv: [43] I. Losev, Finite W-algebras. Proceedings of the International Congress of Mathematicians Hyderabad, India, 2010, p arxiv:1003:5811. [44] I. Losev, Representations of general linear groups and categorical actions of Kac-Moody algebras. arxiv: Teaching experience 1) Fall 2005, Independent University of Moscow: A course Moment map, lecturer. The program and lecture notes (in Russian) are available at: 2) Fall 2005, Spring 2006, Fall 2006: Independent University of Moscow: Algebra seminars for first year students, teaching assistant. 3) Fall 2006, Independent University of Moscow: A course Lie groups and Lie algebras, lecturer. The program and exercise sheets (in Russian) are available at: 4) Fall 2007, Spring 2008, Belarusian State University, Minsk, Belarus: A course Young tableaux, lecturer. 5) Spring 2008, Belarusian State University: A course Advanced linear algebra, lecturer. 6) Spring 2008, Number theory and Geometry lectures for the Belarusian IMO team. 7) Fall 2008, MIT: section leader for single variable calculus course (18.01) with Prof. B. Brubaker. 8) Spring 2009, MIT: section leader for differential equations course (18.03) with Prof. D. Jerison. 9) August 2009, Belarusian State University: A crash-course Hamiltonian mechanics and representations of quivers, lecturer. 10) Fall 2009, MIT: section leader for with Prof. B. Brubaker. 11) Spring 2010, MIT: section leader for Project lab in math (18.821) with Prof. D. Jerison. 12) August 2010, Belarusian State University: A crash-course Quadratic forms over Q. 13) Fall 2010, MIT: section leader for with Prof. P. Seidel. 14) Spring 2011, MIT: section leader for with Prof. D. Jerison. 15) July 2011, summer school Modern Mathematics, Dubna, Russia: A crash course Representations of groups and the Burnside theorem, lecturer. 4 Expanded lecture notes of a mini-course given at CIRM, Luminy, in April 2009

5 CURRICULUM VITAE 5 16) December 2011, Higher School of Economics, Moscow Russia: A crash course Calogero- Moser systems and Rational Cherednik algebras, 4 hours. 17) Spring 2012, Northeastern University. MATH 4555, Complex variables. Lecturer. 18) July 2012, summer school Modern Mathematics, Dubna, Russia: A 5 hour crash course Quantum groups, knots, and Jones polynomial, lecturer. 19) Fall, 2012, Northeastern University. MATH 1242, Calculus II, Lecturer. 20) Fall, 2012, Northeastern University. MATH 7364, Topics in Representation Theory: Symplectic Reflection algebras. 8. Talks Talks on seminars. 1. ENS, Paris. Seminar Exposés des étudiants russes de l Université Indépendante de Moscou, January Talk Weyl groups of G-varieties. 2. Fourier University, Grenoble, Algebra and Geometry seminar, June Talk Algebraic Hamiltonian actions. 3. Rutgers University, New Brunswick, Lie groups Seminar, January Talk Characterization of affine spherical varieties. 4. Rutgers University, New Brunswick, Lie groups Seminar, February Talk Combinatorial invariants of algebraic Hamiltonian actions. 5. Cornell University, Lie groups seminar, February Talk Uniqueness property for smooth affine spherical varieties. 6. Rutgers University, New Brunswick, Gelfand Seminar, February, Talk Proof of the Knop conjecture. 7. MIT, Lie groups seminar, February Talk Uniqueness property for smooth affine spherical varieties. 8. Rutgers University, New Brunswick, Lie groups Seminar, March Talk Hamiltonian actions on affine varieties. 9. Princeton University. Seminar Geometry, Representation theory and Moduli spaces, April Talk Uniqueness property for smooth affine spherical variety. 10. Steklov Math. Institute Algebra Seminar, April Talk Uniqueness properties for spherical varieties. 11. Fourier University, Grenoble, Algebra and Geometry seminar, June Talk Uniqueness property for spherical homogeneous spaces. 12. Claud Bernard University, Lyon, Algebra seminar, June Talk A uniqueness property for affine spherical varieties. 13. Montpellier University 2, Algebra, Algebraic Geometry and Algebraic Topology seminar, June Talk Uniqueness property for spherical homogeneous spaces. 14. University of Manchester, Algebra seminar, February Talk Quantized symplectic actions and 15. University of Oxford, Algebraic and Symplectic Geometry seminar, February Talk Uniqueness properties for affine spherical varieties. 16. University of Warwick, Algebra seminar, February Talk Quantized symplectic actions and 17. University of Edinburgh, Algebra seminar, February Talk Quantized symplectic actions and

6 6 CURRICULUM VITAE 18. University of Edinburgh, Math. Physics seminar, February Talk Algebraic Hamiltonian actions. 19. University of York, Pure Math. seminar, February Talk Quantized symplectic actions and 20. Moscow State University, Algebraic Topology seminar, March Talk Classification of multiplicity free Hamiltonian actions of complex tori on Stein manifolds. 21. Moscow Math. Society meeting, March, Talk Quantized symplectic actions and 22. University of Toronto, Symplectic Geometry seminar, May Talk Classification of multiplicity free Hamiltonian actions of complex tori on Stein manifolds. 23. MIT, Infinite dimensional algebra seminar, October Talk 24. UNC, Geometry and Representation theory seminar, November Talk Walgebras. 25. University of Virginia, colloquium, December Talk 26. University of Oregon, Basic notions seminar, October Talk Deformation quantization. 27. University of Oregon, Colloquium, October Talk Finite W-algebras and their representations. 28. MIT, Infinite dimensional algebra seminar, October Talk Category O for 29. University of Massachusetts, Amherst, Valley geometry seminar, October Talk Deformation quantization and 30. Boston University, Geometry seminar, October Talk Deformation quantization and 31. University of Chicago, Geometric Langlands seminar, November Talk Finite dimensional representations of 32. University of North Carolina in Chapel Hill, Geometric methods in Representation theory, March Talk: Finite dimensional representations of 33. MIT, Lie groups seminar. March Talk: Quantization of nilpotent orbits vs 34. Cornell, Lie groups seminar. April Talk: Finite dimensional representations of 35. MIT, Infinite dimensional algebra seminar, May Talk: Completions of symplectic reflection algebras. 36. Universite Paris 6, Algebra seminar, June Talk: Completions of symplectic reflection algebras. 37. MIT, Lie groups seminar, October Talk: One-dimensional representations of 38. University of Oregon, Algebra seminar, October Talk: Quantizations of Kleinian singularities. 39. Northeastern University, CAGS seminar, October Talk: Quantizations of Kleinian singularities. 40. UC Berkeley, Combinatorics, Geometry and Representation Theory Seminar, December Talk: Finite 41. Jacobs University, Bremen, Germany, Colloquium, January Talk: Finite W- algebras. 42. Rutgers University, Colloquium, January Talk: Finite

7 CURRICULUM VITAE MIT, Special Representation Theory seminar, January Talk: Finite W- algebras. 44. UC Berkeley, Combinatorics, Geometry and Representation Theory Seminar, December Talk: Finite W-algebras, II. 45. MIT, Infinite dimensional algebra seminar, May Talks: Classification of finite dimensional irreducible modules for W-algebras and Goldie ranks. 46. CUNY, Representation theory seminar, September Talk: Quantization of Kleinian singularities. 47. Northeastern University, Representation theory seminar, September Talk: Classification of finite dimensional irreducible representations of 48. Northeastern University, GASC seminar, October Talk: Goldie ranks via finite 49. MIT, Infinite dimensional algebra seminar, October Talk: Category O for cyclotomic Rational Cherednik algebras. 50. University of Oregon, Algebra seminar, November Talk: Goldie ranks via finite 51. University of Oregon, Algebra seminar, June Talk: Highest weight sl 2 - categorifications. 52. Northeastern University, Geometry, Algebra, Combinatorics and Singularities seminar, January Talk: Representations with minimal support for Rational Cherednik algebras. 53. MIT, Infinite dimensional algebra seminar, February 2013, Talk: Uniqueness of tensor product categorifications. 54. MIT, Lie groups seminar, February 2013, Talk: Dimensions of irreducible modules over 55. Northeastern University, Representation theory seminar, February Talk: Counting finite dimensional irreducible modules over quantized quiver varieties. 56. HUJI, Jerusalem, Israel, Number theory seminar, February Talk: Classification of Procesi bundles. 57. Columbia University, Informal Math Physics seminar, March Talk: Classification of Procesi bundles. 58. U. Mass., Amherst, Representation Theory seminar, March Talk: Uniqueness of tensor product categorifications. 59. Tufts University, Algebraic geometry seminar, March Talk: Classification of Procesi bundles. 60. Northwestern University, Algebra seminar, April Talk: Classification of Procesi bundles. 61. MIT, Algebraic Geometry seminar, May Talk: Classification of Procesi bundles. 62. Moscow State University, Moscow, Russia, Lie groups and Invariant theory seminar, May Talk: Counting finite dimensional irreducible representations of quantized quiver varieties. 1.5 hours. 63. Independent University of Moscow, Colloquium, May Talk: Khovanov- Rozansky homology, Catalan numbers, Rational Cherednik algebras, and Hilbert schemes of plane curves. 1.5 hours. 64. Higher School of Economics, Moscow, Algebraic Geometry seminar, May Talk: Representations with minimal support of Rational Cherednik algebras. 2 hours.

8 8 CURRICULUM VITAE Talks on conferences and workshops. 1. University of Bielefeld, miniworkshop on algebraic groups, Lie groups and transformation groups, July Talk Hamiltonian actions of reductive algebraic groups. 2. Independent University of Moscow, Conference Fundamental Mathematics in the work of young researchers, November Talk Quantized Hamiltonian actions of reductive groups and their applications. 3. The international conference Transformation groups-2007 dedicated to Ernest Vinberg s 70th birthday, Independent University of Moscow, December, Talk Uniqueness properties of spherical varieties. 4. The workshop Lie Theory, MSRI, March Talk Quantized symplectic actions and 5. Conference Lie theory and Geometry. Mathematical legacy of Bertram Kostant, PIMS, May Talk Quantized symplectic actions and 6. Conference Geometric Invariant Theory 2008, Goettingen, June Talk Uniqueness property for smooth affine spherical varieties. 7. Mini-workshop Representation theory days, Erlangent, June Talk Lifting of central invariants for quantized Hamiltonian actions. 8. Conference of the summer school Geometric methods in Representation theory, Grenoble, July Talk Quantized symplectic actions and 9. Conference Nilpotent orbits and representation theory conference, Ogoto, Japan, March Talk Fedosov quantization and 10. Conference Algebraic Lie structures with origins in physics. Isaac Newton Institute for Math Sciences, Cambridge UK, March Talk Irreducible finite dimensional representations of 11. Conference Representation theory and Lie theory. Isaac Newton Institute for Math Sciences, Cambridge UK, June Talk One-dimensional representations of 12. Conference Combinatorial and geometric structures in Representation theory, Durham, UK, July Talk: Classification of finite dimensional irreducible representations of W- algebras. 13. Conference Double affine Hecke algebras and algebraic geometry, MIT, May Talk: Symplectic reflection algebras vs quantum Hamiltonian reduction, revisited. 14. ICM 2010, Hyderabad, India: invited talk Finite W-algebras for Section 7 (Lie theory and generalizations). 15. AMS Sectional Meeting, Savannah GA, April Talk: Classification of multiplicity free actions of complex tori. 16. Conference Affine Hecke algebras etc., Luminy, France, June Talk: Category O for cyclotomic rational Cherednik algebras. 17. Conference Legacy of deformation quantization, Ascona, Switzerland, June Talk: Isomorphisms of quantizations via quantization of resolutions. 18. Auslander memorial conference, Woods Hole, MA, April Talk: Crystal for GL n revisited. 19. Conference Geometry of derived categories and representation theory, Boston, MA, May Talk Highest weight sl 2 -categorifications. 20. Conference Representation theory and symplectic algebraic geometry, Marseille, France, July Talk Counting finite dimensional irreducible representations of quantizations of symplectic singularities.

9 CURRICULUM VITAE Conference Interactions between Algebraic geometry, Noncommutative algebra and Representation theory, MSRI, Berkeley, April Talk On Procesi bundles. Mini-courses. 1. Instructional workshop of Algebraic Lie theory program. Isaac Newton Institute for Math Sciences, Cambridge UK, January hour course Finite W-algebras and their representations. 2. Hamiltonian actions: invariants and classifications, C.I.R.M. Luminy France, April hour course Uniqueness properties for spherical varieties. 3. RIMS, Kyoto, November hour course Finite 4. Northwestern University, Evanston, IL, May hour course Symplectic reflection algebras and deformation quantization. 5. Summer school Algebraic groups, Lie algebras and Invariant theory, Togliatti, Russia, June hour course Representations of the general linear group and categorical actions of Kac-Moody algebras. 6. Higher School of Economics, Moscow, Russia, December 2012: A crash course Categorifications of tensor products, 3 hours. 7. December 2012, Higher School of Economics, Moscow, Russia: A crash course Procesi bundles, 3 hours. 8. March 2013, Weizmann Institute, Rehovot, Israel. A course Finite W-algebras, 8 hours. 9. April 2013, University of Chicago, Geometric Langlands seminar. A crash course Introduction to categorical Kac-Moody actions, 5 hours. 9. Grants, awards, and distinctions 1) : RFBR grant ) The 10th Moebius contest, Moscow, 2006: the first prize 5, 3) : NSF grant DMS ) 2010: Invited sectional speaker for ICM ) 2012-present: NSF grant DMS Russian, English. 10. Languages 11. Professional activities Referee for: Advances in Mathematics, Algebra and Number theory, Duke Math Journal, IMRN, Journal of Algebra, Journal of Lie theory, Selecta Math., Transformation groups, Invent. Math., J. Amer. Math. Soc., Representation theory, Math. Z. Editor for Transformation groups. 5 awarded for the preprint [24]

CURRICULUM VITAE PhD in Mathematics, Columbia University Thesis: Quantum Algebras and Cyclic Quiver Varieties

CURRICULUM VITAE PhD in Mathematics, Columbia University Thesis: Quantum Algebras and Cyclic Quiver Varieties CURRICULUM VITAE Education and Employment: 2015 - ongoing Assistant Professor, MIT (tenure-track) 2012-2015 PhD in Mathematics, Columbia University Thesis: Quantum Algebras and Cyclic Quiver Varieties