Email 1: dsoskin at ias dot edu
Email 2: dssoskin at gmail dot com
Address: Fuld 118, Institute for Advanced Study
1 Einstein Drive
Princeton, New Jersey
08540 USA
I am a Member at School of Mathematics at Institute for Advanced Study. My academic mentor is June Huh.
I have received a PhD degree in the Department of Mathematics of The University of Notre Dame in South Bend, Indiana (2017-2023). I was extremely lucky to be a graduate student of Michael Gekhtman.
My research interests are in algebra and combinatorics. More specifically, I am interested in total positivity, cluster algebras, immanants, plabic graphs, determinantal inequalities.
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Photo credit: Andrea Kane, Institute for Advanced Study
Publications and preprints
8. “Schur inequalities and Littlewood–Richardson coefficients”, joint with Igor Pak, in progress
7. “Cluster multiplicative inequalities in finite type cluster algebras”, joint with Zachary Greenberg and Michael Gekhtman, arXiv:2409.06642 (2024), submitted
6. “Generalized diagonals in positive semi-definite matrices”, joint with Robert Angarone,
arXiv:2409.06907 (2024), submitted
5. “Permanental inequalities for totally positive matrices”, joint with Mark Skandera,
arXiv:2406.00963 (2024), accepted to The Electronic Journal of Combinatorics
4. “Plücker inequalities for weakly-separated coordinates in totally nonnegative Grassmannians”, joint with Prateek Kumar Vishwakarma, arXiv:2310.12916 (2023), submitted
3. “Barrett-Johnson inequalities for totally nonnegative matrices”, joint with Mark Skandera, Linear and Multilinear Algebra, 1–24. https://doi.org/10.1080/03081087.2024.2446784 (2025)
2. “On bounded ratios of minors of totally positive matrices”, joint with Michael Gekhtman,
https://doi.org/10.48550/arXiv.2204.11962 (2022), to appear in Linear Algebra and its Applications
Talks
19. “Total positivity and determinantal inequalities”, Institute for Advanced Study, USA, 2024
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18. “Cluster multiplicative inequalities on positive locus”, Lehigh University, USA, 2024
17. “Multiplicative and additive determinantal inequalities for totally nonnegative matrices”, Yale University, USA, 2023
16. “Multiplicative and additive determinantal inequalities for totally nonnegative matrices”, University of Michigan, USA, 2023
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15. “Multiplicative and additive determinantal inequalities for totally nonnegative matrices”, UC San Diego, USA, 2023
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14. “Barrett-Johnson inequalities for totally nonnegative matrices”, AMS Special Session on Cluster Algebras, Positivity and Related Topics, Cincinnati, USA, 2023
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13. “Determinantal inequalities for totally positive matrices”, Regina University, Canada, 2023 (on Zoom)
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12. “Determinantal inequalities for totally positive matrices”, University of Leeds, UK, 2022
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11. “Determinantal inequalities for totally positive matrices”, Rutgers University, USA, 2022
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10. “Determinantal inequalities for totally positive matrices”, PCU of Rio de Janeiro, Brazil, 2022 (On Zoom)
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9. “Determinantal inequalities for totally positive matrices”, Michigan State University, USA, 2022
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8. “Determinantal inequalities for totally positive matrices”, University of Minnesota, USA, 2022
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7. “Determinantal inequalities for totally positive matrices”, University of Pennsylvania, USA, 2022
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6. “Determinantal inequalities for totally positive matrices”, Lehigh University, USA, 2022
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5. “Determinantal inequalities for totally positive matrices”, University of Notre Dame, USA, 2022
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4. “Lie algebras and Dynkin diagrams”, Heidelberg University, Germany, 2022
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3. “Skein and cluster algebras of marked surfaces”, University of Notre Dame, USA, 2021
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2. “Dimers and cluster integrable systems”, University of Notre Dame, USA, 2019
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1. “Arrangements of equal minors in the positive grassmannian”, University of Notre Dame, USA, 2019
Teaching
Instructor, Calculus II, Spring 2024 (one class)
Primary Instructor, Survey of Calculus II, Summer 2024 (one class)
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Instructor, Calculus I, Fall 2023 (two classes)
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Instructor, Research Experience for Undergraduates, Summer 2022 (one class)
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Instructor, Calculus II, Spring 2020 (one class)
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Teaching Assistant, Linear Algebra and Differential Equations, Spring 2023 (one class)
Teaching Assistant, Calculus I, Fall 2018, Fall 2019, Fall 2020 (seven classes)
Teaching Assistant, Calculus II, Spring 2019, Fall 2021, Spring 2022 (five classes)
Teaching Assistant, Calculus III, Spring 2021 (two classes)