Publications

Elie Casbi, Aria Masoomi and Milen Yakimov, The Poisson degeneracy locus of a flag variety, arXiv:2401.04833.

Iva Halacheva. Shift of argument algebras and de Concini-Procesi spaces, Provisionally accepted in the Proceedings for the Conference on Compactifications, Configurations, and Cohomology (AMS CONM book series).

D. K. Nakano, K. B. Vashaw and M. T. Yakimov, A Chinese remainder theorem and Carlson’s theorem for monoidal triangulated categories, arXiv:2311.17883.

Joshua Jeishing Wen. The quantum Harish-Chandra isomorphism for GLn, arxiv:2309.00823. 

Hunter Dinkins. On the vertex functions of type A quiver varieties, arxiv:2308.05094.

Zhongkai Mi, Quanshui Wu and Milen Yakimov The lowest discriminant ideal of a Cayley-Hamilton Hopf algebra, arXiv:2307.15477.

Robert Laugwitz and Chelsea Walton and Milen Yakimov, Reflective centers of module categories and quantum K-matrices, arXiv:2307.14764.

Peter Crooks, Jonathan Weitsman. The double Gelfand–Cetlin system, invariance of polarization, and the Peter–Weyl theorem, arXiv:2303.18113.

W. Riley Casper, F. Alberto Grünbaum, Ignacio Zurrián and Milen Yakimov, Matrix valued discrete-continuous functions with the prolate spheroidal property and bispectrality, arXiv:2302.05750.

Peter Crooks, Jonathan Weitsman. Abelianization and the Duistermaat-Heckman Theorem, arXiv:2302.02421.

Valerio Toledano Laredo and Robin Walters. On the Finkelberg–Ginzburg mirabolic monodromy conjecture, arXiv:2212.13648.

Daniel Orr, Mark Shimozono, Joshua Jeishing Wen. Wreath Macdonald operators, arXiv:2211.03851.

Peter Crooks, Jonathan Weitsman, Gelfand-Cetlin abelianization of symplectic quotients, arXiv:2209.04978.

Andrea Appel and Valerio Toledano Laredo. Pure braid group actions on category O modules, arXiv:2208.05331.

Pau Mir, Eva Miranda, Jonathan Weitsman. Bohr-Sommerfeld quantization of b-symplectic toric manifolds, arXiv:2203.03340.

Valerio Toledano Laredo and Xiaomeng Xu. Stokes phenomena, Poisson–Lie groups and quantum groups, arXiv:2202.10298.

Dror Bar-Natan, Iva Halacheva, Nancy Scherich. Yarn ball knots and faster computations, arXiv:2108.10923.

Matthew Hogancamp, David E. V. Rose, Paul Wedrich. Link splitting deformation of colored Khovanov-Rozansky homology, arXiv:2107.09590.

Matthew Hogancamp, David E. V. Rose, Paul Wedrich. A skein relation for singular Soergel bimodules, arXiv:2107.08117.

Rob Silversmith. Cross-ratio degrees and perfect matchings, arXiv:2107.04572.

Zsuzsanna Dancso, Iva Halacheva, Marcy Robertson. A topological characterisation of the Kashiwara-Vergne groups, arXiv:2106.02373.

Eugene Gorsky, Matthew Hogancamp, Anton Mellit. Tautological classes and symmetry in Khovanov-Rozansky homology, arXiv:2103.01212.

Iva Halacheva, Anthony Licata, Ivan Losev, Oded Yacobi. Categorical braid group actions and cactus groups, arXiv:2101.05931.

Melissa Franco, Sarah J. Pickett, Zoe Fleischmann, Mark Khrapko, Auden Cote-L’Heureux, Dylan Aidlen, David Stein, Natasha Markuzon, Konstantin Popadin, Maxim Braverman, Dori C. Woods, Jonathan L. Tilly, Doug M. Turnbull, Konstantin Khrapko, Dynamics of the most common pathogenic mtDNA variant m.3243A>G demonstrate frequency-dependency in blood and positive selection in the germline, bioRxiv 2021.02.26.433045

Daniele Agostini, Ignacio Barros, Kuan-Wen Lai. On the irrationality of moduli spaces of K3 surfaces, arXiv: 2011.11025. 

Rohini Ramadas, Rob Silversmith. Equations at infinity for critical-orbit-relation families of rational maps, arXiv:2008.10095.

Peter Crooks, Markus Röser. Hessenberg varieties and Poisson slices, arXiv:2005.00874.

Rohini Ramadas, Rob Silversmith. Two-dimensional cycle classes on M_{0,n}-bar, arXiv:2004.05491.

Iva Halacheva. Skew Howe duality for crystals and the cactus group, arXiv:2001.02262.

Ignacio Barros, Laure Flapan, Alina Marian, Rob Silversmith. On product identities and the Chow rings of holomorphic symplectic varieties, arXiv:1912.13419.

Laure Flapan, Robin Walters, Xiaolei Zhao. Period integrals and Hodge modules, arXiv:1910.00035.

Sachin Gautam, Valerio Toledano Laredo, Curtis Wendlandt. The meromorphic R–matrix of the Yangian, arXiv:1907.03525.

Laure Flapan, Complete families of indecomposable non-simple abelian varieties, arXiv:1906.10803.

Ingmar Saberi, Brian R. Williams, Twisted characters and holomorphic symmetries,  arXiv:1906.04221.

Matt Szczesny, Jackson Walters, Brian Williams, Toroidal prefactorization algebras associated to holomorphic fibrations and a relationship to vertex algebras, arXiv:1904.03176.

Arend Bayer, Martí Lahoz, Emanuele Macrì, Howard Nuer, Alexander Perry, Paolo Stellari, Stability conditions in families, arXiv:1902.08184.   

Ivan Losev, On inductive construction of Procesi bundles, arXiv:1901.05862. 

Nathaniel Bade, Chris Beasley, Anomalies and Holomorphy in Supersymmetric Chern-Simons-Matter Theories, arXiv:1812.02832.

Vance Blankers, Renzo Cavalieri. Witten's conjecture and recursions for κ classes, arXiv:1810.11443. 

Ivan Losev, Harish-Chandra bimodules over quantized symplectic singularities, arXiv:1810.07625.  

Owen Gwilliam, Brian R. Williams, Higher Kac-Moody algebras and symmetries of holomorphic field theories, arXiv:1810.06534.

Maxim Braverman, Pengshuai Shi, The index of a local boundary value problem for strongly Callias-type operators, arXiv:1810.06134.

Brian R. Williams, Renormalization for holomorphic field theories, arXiv:1809.02661.

Emily Barnard, Thomas McConville, Lattices from graph associahedra and subalgebras of the Malvenuto-Reutenauer algebra, arXiv:1808.05670.

Valeriano Lanza, Ivan Martino, On the codimension of Noether-Lefshetz loci for toric threefolds, arXiv:1807.11426.

Emanuele Macrì, Paolo Stellari, Lectures on non-commutative K3 surfaces, Bridgeland stability, and moduli spaces, arXiv:1807.06169. 

Laure Flapan, Geometry of Schreieder's varieties and some elliptic and K3 moduli curves, arXiv:1806.07859.

Valerio Toledano Laredo, Yaping Yang, The elliptic Casimir connection of a simple Lie algebra, arXiv:1805.12261.

Ivan Martino, Rahul Singh, Finite Groups Generated in Low Real Codimension, arXiv:1804.05089.

Ivan Losev, Ivan Panin, Goldie ranks of primitive ideals and indexes of equivariant Azumaya algebras,  arXiv:1802.05651.

Chunyi Li, Laura Pertusi, Xiaolei Zhao, Twisted cubics on cubic fourfolds and stability conditions arXiv:1802.01134.

Valerio Toledano Laredo, Yaping Yang, Universal KZB Equations for arbitrary root systems, arXiv:1801.10259.

Emanuele Macrì, Benjamin Schmidt, Derived categories and the genus of space curves, arXiv:1801.02709.

Andreas P. Braun, Cody Long, Liam McAllister, Michael Stillman, Benjamin Sung, The Hodge Numbers of Divisors of Calabi-Yau Threefold Hypersurfaces, arXiv:1712.04946.

Alina Marian, Dragos Oprea, Rahul Pandharipande, Higher rank Segre integrals over the Hilbert scheme of points, arXiv:1712.02382.

Alina Marian, Xiaolei Zhao, On the group of zero-cycles of holomorphic symplectic varieties,  arXiv:1711.10045.

James Halverson, Cody Long, Benjamin Sung, On the Scarcity of Weak Coupling in the String Landscape, arXiv:1710.09374.

Emily Barnard, Andrew T. Carroll, Shijie Zhu, Minimal inclusions of torsion classes, arXiv:1710.08837.

Ornella Greco, Ivan Martino, Cohen-Macaulay Property of pinched Veronese Rings, arXiv:1709.10461.

Laure Flapan, Monodromy of Kodaira Fibrations of Genus 3,  arXiv:1709.03164.

Ana-Maria Castravet, Jenia Tevelev, Derived category of moduli of pointed curves - I, arXiv:1708.06340.

Sachim Gautam, Valerio Toledano Laredo, Elliptic quantum groups and their finite-dimensional representations, arXiv:1707.06469.

A. Appel, V. Toledano Laredo, Pure braid group actions on category O modules, to appear in Pure and Applied Mathematics Quarterly, 35 pages, https://www.intlpress.com/site/pub/pages/journals/items/pamq/content/vols/0020/0001/a003/

A. Appel, V. Toledano Laredo, Monodromy of the Casimir connection of a symmetrisable Kac-Moody algebra, Inventiones Mathematicae (2024), 124 pages, https://link.springer.com/content/pdf/10.1007/s00222-024-01242-8.pdf 

Nicholas Andruskiewitsch, Ivan Angiono and Milen Yakimov, Poisson orders on large quantum groups, Adv. Math. 428 (2023), Art. 109134, 66pp.

Zsuzsanna Dancso, Iva Halacheva, Marcy Robertson. A topological characterisation of the Kashiwara-Vergne groups, to appear in Trans. Am. Math. Soc., arXiv:2106.02373 

K. R. Goodearl and M. T. Yakimov, Cluster algebra structures on Poisson nilpotent algebras, Memoirs Amer. Math. Soc. 290 (2023), no. 1445, v + 100pp.

Shengnan Huang, Thang T. Q. Lê and Milen Yakimov, Root of unity quantum cluster algebras and Cayley-Hamilton algebras, Trans. Amer. Math. Soc. 10 (2023), 6767-6798.

P. Mir, E. Miranda, J. Weitsman, Bohr-Sommerfeld quantization of b-symplectic toric manifolds, to appear in Pure and Applied Mathematics Quarterly, arXiv:2203.03340.

W. Riley Casper, F. Alberto Grünbaum, Ignacio Zurrián and Milen Yakimov, Algebras of commuting differential operators for integral kernels of Airy type, in: Toeplitz Operators and Random Matrices, Harold Widom Memorial Volume, Operator Theory, Advances and Applications, vol. 289, eds. E. Basor et al, pp. 229–256, Birkhäuser, 2023.

W. Riley Casper, F. Alberto Grünbaum, Ignacio Zurrián and Milen Yakimov, Reflective prolate-spheroidal operators and the adelic Grassmannian, Comm. Pure Appl. Math. 76 (2023), no. 12, 3769-3810,

V. Toledano Laredo, X. Xu, Stokes phenomena, Poisson–Lie groups and quantum groups, Adv. Math. 429 (2023), Paper No. 109189, 34 pages.

R. Walters, V. Toledano Laredo, On the Finkelberg–Ginzburg mirabolic monodromy conjecture, to appear in IMRN, 33 pages.

Ana Balibanu, Peter Crooks. Perverse sheaves and the cohomology of regular Hessenberg varieties. To appear in Transform. Groups, arXiv:2004.07970. 

Ignacio Barros, Laure Flapan, Alina Marian, Rob Silversmith. On product identities and the Chow rings of holomorphic symplectic varieties. Selecta Mathematica 28 (2022), 1-29.

Vance Blankers. Extremality of rational tails boundary strata in M(g,n). Eur. J. Math. 8 (2022), 523-539. 

Maxim Braverman, Leonid Friedlander, Mikhail Shubin (1944–2020). J. Spectr. Theory 12 (2022), no. 1, 1–9.

Peter Crooks, Markus Röser. On the singularities of Mishchenko-Fomenko systems. To appear in Transform. Groups, https://doi.org/10.1007/s00031-022-09718-8. 

Peter Crooks, Markus Röser. The log symplectic geometry of Poisson slices. To appear in J. Symplectic Geom., arXiv:2008.06172. 

Peter Crooks, Maxence Mayrand. Symplectic reduction along a submanifold. To appear in Compos. Math., arXiv:2107.03198.

Alina Marian, Dragos Oprea, Rahul Pandharipande, Higher rank Segre integrals over the Hilbert scheme of points. J. Eur. Math. Soc. 24 (2022), 2979-3015.

Daniele Agostini, Ignacio Barros. Pencils on surfaces with normal crossings and the Kodaira dimension of M_{g,n}, Forum Math. Sigma 9 (2021), E31, 1-22. 

Vance Blankers, Renzo Cavalieri. Witten's conjecture and recursions for $\kappa$ classes. Eur. J. Math. 3 (2021), 309-339.

Maxim Braverman, Viktor Matveevich Buchstaber, Mikhail Gromov, Victor Ivrii, Yuri Kordyukov, Peter Kuchment, Vladimir Maz’ya, Sergei Petrovich Novikov, Toshikazu Sunada, L Friedlander, Askold Georgievich Khovanskii. Misha Shubin. 1944 – 2020. To appear in Russian Math. Surveys,  arXiv:2008.13543.  

Maxim Braverman, Arnold Dikansky, Leonid Friedlander, Misha Gromov, Victor Ivrii, Yuri Kordyukov, Peter Kuchment, Vladimir Maz’ya, Robert McOwen, Toshikazu Sunada, Alexander Zvonkin. Mikhail Aleksandrovich Shubin. December 19, 1944 – May 13, 2020. Notices Amer. Math. Soc., January 2021, 81–93.

Maxim Braverman, Yiannis Loizides, and Yanli Song. Geometric quantization of b-symplectic manifolds. J. Symplectic Geom. 19 (2021), no. 1, 1–36.

Maxim Braverman and Pengshuai Shi. The Atiyah-Patodi-Singer index on manifolds with non-compact boundary. J. Geom. Anal. 31 (2021), no. 4, 3713–3763 

Maxim Braverman and Pengshuai Shi. APS index theorem for even-dimensional manifolds with non-compact boundary. Commun. Anal. Geom. 29 (2021), no. 2, 293-327. 

Peter Crooks, Maarten van Pruijssen. An application of spherical geometry to hyperkähler slices. Canad. J. Math. 73 (2021), no. 3, 687-716.

Peter Crooks, Jonathan Weitsman. Towards a quantization of the double via the enhanced symplectic category. Res. Math. Sci. 8 (2021), no. 2, paper no. 32, 51 pp.

Zsuzsanna Dancso, Iva Halacheva, Marcy Robertson. Circuit algebras are wheeled props. J. Pure Appl. Algebra 225 (2021) no. 12, https://doi.org/10.1016/j.jpaa.2021.106767.

Zajj Daugherty, Iva Halacheva, Mee Seong Im, Emily Norton, On calibrated representations of the degenerate affine periplectic Brauer algebra. Surv. Math. Appl. 3. (2021).

Sachin Gautam, Valerio Toledano Laredo, Curtis Wendlandt, The meromorphic R–matrix of the Yangian, in Representation Theory, Mathematical Physics and Integrable Systems, in honor of Nicolai Reshetikhin, Progress in Mathematics 340, Birk ̈auser, 2021, 201–271

Eugene Gorsky, Matthew Hogancamp, Paul Wedrich. Derived Traces of Soergel Categories. International Mathematics Research Notices (2021), https://doi.org/10.1093/imrn/rnab019.

Victor Guillemin, Eva Miranda, Jonathan Weitsman. On geometric quantization of $b^m$ symplectic manifolds. Math. Z. 298 (2021), 281-288.

Rob Silversmith. Matroids and the Hilbert scheme of points in P^1, To appear in Manuscripta Math., arXiv:1911.03569.

Maxim Braverman. An index of strongly Callias operators on Lorentzian manifolds with non-compact boundary. Math. Z. 294 (2020), 229–250. 

Peter Crooks, Markus Röser. On the fibres of Mishchenko-Fomenko systems, Doc. Math. 25 (2020), 1195-1239.

Aleksei Pakharev. Weyl-Kac character formula for affine Lie algebras in Deligne's categories. J. Algebra (2020), Volume 562, 229-256, https://doi.org/10.1016/j.jalgebra.2020.06.027.

Iva Halacheva, Joel Kamnitzer, Leonid Rybnikov, Alex Weekes. Crystals and monodromy of Bethe vectors. Duke Math. J. (2020), https://doi.org/10.1215/00127094-2020-0003

Martina Balagovic, Zajj Daugherty, Inna Entova-Aizenbud, Iva Halacheva, Johanna Hennig, Mee Seong Im, Gail Letzter, Emily Norton, Vera Serganova, Catharina Stroppel. The affine VW supercategory. Selecta Math. New Ser. 26, 20 (2020), https://doi.org/10.1007/s00029-020-0541-4.

Vance Blankers, Renzo Cavalieri. Wall-crossings for Hassett descendant potentials. International Mathematics Research Notices (2020), 10.1093/imrn/rnaa077.

Vance Blankers. Hyperelliptic classes are rigid and extremal in genus two. Épijournal de Géométrie Algébrique, Volume 4 (2020), Article no.2. 

Peter Crooks. Kostant-Toda lattices and the universal centralizer. J. Geom. Phys. 150 (2020), 103595, 1-16. 

Ignacio Barros, Scott Mullane, Two moduli spaces of Calabi-Yau type. IMRN to appear  https://doi.org/10.1093/imrn/rnz264.

Peter Crooks, Steven Rayan. Abstract integrable systems on hyperkähler manifolds arising from Slodowy slices. Math. Res. Lett. 26 (2019), no. 1, 9-33. 

Alexander Moll, Finite Gap Conditions and Small Dispersion Asymptotics for the Classical Periodic Benjamin-Ono Equation to appear in the AMS Quarterly of Applied Mathematics

Alexander Moll, Exact Bohr-Sommerfeld Conditions for the Quantum Periodic Benjamin-Ono Equation SIGMA 15 (2019), 098, 27 pages.

Victor Guillemin, Eva Miranda, Jonathan Weitsman, Desingularizing b^m-symplectic structures.  Int. Math. Res. Not. IMRN 2019 (2019), no. 10, 2981-2998.

Andrea Appel, Valerio Toledano Laredo, Uniqueness of Coxeter structures on Kac-Moody algebras.  Adv. Math. 347 (2019), 1-104.

Andrea Appel, Valerio Toledano Laredo, Coxeter categories and quantum groups. Selecta Math. 25 (2019), no.3, 1-97.

Ivan Losev, Cacti and cells. J. Eur. Math. Soc. 21 (2019), no. 6, 1729-1750.

Alina Marian, Dragos Oprea, Rahul Pandharipande, The combinatorics of Lehn's conjecture. J. Math. Soc. Japan 71 (2019), no. 1, 299–308. 

Hiraku Abe, Peter Crooks, Hessenberg varieties, Slodowy slices, and integrable systems. Math Z. 291 (2019), no. 3-4, 1093-1132.

Maxim Braverman, Pengshuai Shi, The index of a local boundary value problem for strongly Callias-type operators. Arnold Math. J. 5 (2019), no. 1, 79–96.

Maxim Braverman,Gideon Maschler, Equivariant APS index for Dirac operators of non-product type near the boundary. Indiana Univ. Math. J. 68 (2019), no. 2, 435–501.

Maxim Braverman, Simone Cecchini, Callias-type operators in von Neumann algebras. J. Geom. Anal. 28 (2018), no. 1, 546–586.

Andrea Appel, Valerio Toledano Laredo, A 2-categorical extension of Etingof-Kazhdan quantisation. Selecta Math. 24 (2018), 3529-3617.

Victor Guillemin, Eva Miranda, Jonathan Weitsman, Convexity of the moment map image for torus actions on b^m-symplectic manifolds, Phil. Trans. Roy. Soc. A 376 (2018),  no. 2131, 6pp.

Elisheva Adina Gamse, Jonathan Weitsman, Relations in the cohomology ring of the moduli space of flat SO(2n+1)-connections on a Riemann surface, Phil. Trans. Roy. Soc. A 376 (2018),  no. 2131, 30pp.

Jacques Hurtubise, Lisa Jeffrey, Steven Rayan, Paul Selick, Jonathan Weitsman, Spectral curves for the triple reduced product of coadjoint orbits for SU(3) in Geometry and Physics :  A festschrift in honour of Nigel Hitchin 2, Oxford University Press, 2018.

Victor Guillemin, Eva Miranda, Jonathan Weitsman, On geometric quantization of b-symplectic manifolds, Adv. Math. 331 (2018), 941-951. 

Lisa Jeffrey,  Steven Rayan, Gouri Shankar Seal, Paul Selick, Jonathan Weitsman, The Triple Reduced Product and Hamiltonian Flows in Geometric Methods in Physics XXXV. Birkhäuser, Cham, 2018. 41-55.

Chris Beasley, Brendan McLellan, Ruoran Zhang, Remarks on Legendrian Self-Linking, J. Math. Physics 59 (2018), 083503.

Ivan Losev, Representation theory of quantized Gieseker varieties, I. in Lie groups, geometry, and representation theory, 273–314, Progr. Math, 326, Birkhäuser/Springer, Cham, 2018. 

Roman Bezrukavnikov, Ivan Losev, On dimension growth of modular irreducible representations of semisimple Lie algebras in Lie groups, geometry, and representation theory, 59-89, Progr. Math., 326, Birkhäuser/Springer, Cham, 2018. 

Ivan Losev, Quantizations of regular functions on nilpotent orbits, Bull. Inst. Math. Acad. Sin. (N.S.) 13 (20178), no. 2, 199-224.

Ivan Losev, Seth Shelley-Abrahamson, On refined filtration by supports for rational Cherednik categories O. Selecta Math. (N.S.) 24 (2018), no. 2, 1729–1804. 

 Martí Lahoz, Manfred Lehn, Emanuele Macrì, Paolo Stellari, Generalized twisted cubics on a cubic fourfold as a moduli space of stable objects. J. Math. Pures Appl. (9) 114 (2018), 85–117. 

Ignacio Barros, Geometry of the moduli space of n-pointed K3 surfaces of genus 11. Bull. Lond. Math. Soc. 50 (2018), no. 6, 1071–1084. 

Ignacio Barros, Uniruledness of strata of holomorphic differentials in small genus. Adv. Math. 333 (2018), 670–693. 

Chunyi Li, Xiaolei Zhao, The minimal model program for deformations of Hilbert schemes of points on the projective plane. Algebr. Geom. 5 (2018), no. 3, 328–358.  

Laure Flapan, Jaclyn Lang, Chow motives associated to certain algebraic Hecke characters. Trans. Amer. Math. Soc. Ser. B 5 (2018), 102–124. 

Emily Barnard, Nathan Reading. Coxeter-biCatalan combinatorics. J. Algebr. Comb. 47.2 (2018), 241-300.

S. Gautam, V. Toledano Laredo, Meromorphic tensor equivalence for Yangians and quantum loop algebras. Publ. Math. IHES 125 (2017), 267-337.

I. Losev, On categories O for quantized symplectic resolutions. Compos. Math. 153 (2017), no. 12, 2445-2481.

J. Brundan, I. Losev, B. Webster, Graded tensor product categorifications and the super Kazhdan-Lusztig conjecture. Int. Math. Res. Notices 2017 (2017), no. 20, 6329-6410.