in preparation

Poset Permutahedra
Alexander E. Black, Sophie Rehberg, Raman Sanyal. Full paper in preparation.
FPSAC 2025 extended abstract

preprints

  1. Indecomposability of 0/1-polytopes
    Akihiro Higashitani, Arnau Padrol, Raman Sanyal
    arXiv
  2. From linear programming to colliding particles
    Alexander E. Black, Niklas Lütjeharms, Raman Sanyal
    arXiv · extended abstract · report
  3. Inscribable Fans II: Inscribed zonotopes, simplicial arrangements, and reflection groups
    Sebastian Manecke, Raman Sanyal
    arXiv
  4. Whitney numbers of arrangements via measure concentration of intrinsic volumes
    Karim Adiprasito, Raman Sanyal
    arXiv

books

  1. Combinatorial Reciprocity Theorems
    Matthias Beck, Raman Sanyal
    American Mathematical Society, Graduate Studies in Mathematics, vol. 195, 308 (2018)
    Book webpage · AMS store

published

  1. Generalized angle vectors, geometric lattices, and flag-angles
    Spencer Backman, Sebastian Manecke, Raman Sanyal
    Algebraic Combinatorics, vol. 9, no. 2, 441–464 (2026)
    journal · arXiv · report · arXiv
  2. Kalai's 3^d-conjecture for unconditional and locally anti-blocking polytopes
    Raman Sanyal, Martin Winter
    Proceedings of the AMS, vol. 153, no. 1, 279–290 (2025)
    journal · arXiv
  3. Spectral Polyhedra
    Raman Sanyal, James Saunderson
    Forum of Mathematics, Sigma, vol. 13, e30 (2025)
    journal · arXiv · arXiv
  4. Fan Valuations and Spherical Intrinsic Volumes
    Spencer Backman, Sebastian Manecke, Raman Sanyal
    Annals of Combinatorics, vol. 28, 1285–1302 (2024)
    journal · arXiv · arXiv
  5. Inscribable fans I: Inscribed cones and virtual polytopes
    Sebastian Manecke, Raman Sanyal
    Mathematika, vol. 70, no. 4, e12270 (2024)
    journal · arXiv
  6. Underlying flag polymatroids
    Alexander E. Black, Raman Sanyal
    Advances in Mathematics, vol. 453, 109835 (2024)
    journal · arXiv
  7. Coprime Ehrhart Theory and Counting Free Segments
    Sebastian Manecke, Raman Sanyal
    International Mathematics Research Notices, vol. 2023, no. 9, 7319–7332 (2023)
    journal · arXiv
  8. Geometric inequalities for anti-blocking bodies
    Shiri Artstein-Avidan, Shay Sadovsky, Raman Sanyal
    Communications in Contemporary Mathematics, vol. 25, no. 3, 2150113 (2023)
    journal · arXiv
  9. Linear Principal Minor Polynomials: Hyperbolic Determinantal Inequalities and Spectral Containment
    Greg Blekherman, Mario Kummer, Raman Sanyal, Kevin Shu, Shengding Sun
    International Mathematics Research Notices, vol. 2023, no. 24, 21346–21380 (2023)
    journal · arXiv
  10. The Polyhedral Geometry of Pivot Rules and Monotone Paths
    Alexander E. Black, Jesús A. De Loera, Niklas Lütjeharms, Raman Sanyal
    SIAM Journal on Applied Algebra and Geometry, vol. 7, no. 3, 623–650 (2023)
    journal · full text · arXiv
  11. Tropical Carathéodory with Matroids
    Georg Loho, Raman Sanyal
    Discrete & Computational Geometry, vol. 69, 139–155 (2023)
    journal · arXiv
  12. Standard Complexes of Matroids and Lattice Paths
    Alexander Engström, Raman Sanyal, Christian Stump
    Vietnam Journal of Mathematics, vol. 50, no. 3, 763–779 (2022)
    journal · arXiv
  13. On piecewise-linear homeomorphisms between distributive and anti-blocking polyhedra
    Christoph Pegel, Raman Sanyal
    Combinatorial structures in algebra and geometry, vol. 331, 95–114 (2020)
    journal · arXiv
  14. S-hypersimplices, pulling triangulations, and monotone paths
    Sebastian Manecke, Raman Sanyal, Jeonghoon So
    Electronic Journal of Combinatorics, vol. 27, no. 3, Paper No. 3.16, 14 (2020)
    journal · full text · arXiv
  15. The Martin Gardner Polytopes
    Kristin Fritsch, Janin Heuer, Raman Sanyal, Nicole Schulz
    The American Mathematical Monthly, vol. 127, no. 7, 594-601 (2020)
    journal · arXiv
  16. Unconditional reflexive polytopes
    Florian Kohl, McCabe Olsen, Raman Sanyal
    Discrete & Computational Geometry. An International Journal of Mathematics and Computer Science, vol. 64, no. 2, 427–452 (2020)
    journal · arXiv
  17. Colorful Simplicial Depth, Minkowski Sums, and Generalized Gale Transforms
    Karim A. Adiprasito, Philip Brinkmann, Arnau Padrol, Pavel Paták, Zuzana Patáková, Raman Sanyal
    International Mathematics Research Notices, vol. 2019, no. 6, 1894–1919 (2019)
    journal · journal · arXiv
  18. On f- and h-vectors of relative simplicial complexes
    Giulia Codenotti, Lukas Katthän, Raman Sanyal
    Algebraic Combinatorics, vol. 2, no. 3, 343–353 (2019)
    full text · arXiv
  19. Combinatorial positivity of translation-invariant valuations and a discrete Hadwiger theorem
    Katharina Jochemko, Raman Sanyal
    Journal of the European Mathematical Society (JEMS), vol. 20, no. 9, 2181–2208 (2018)
    journal · full text · arXiv · journal
  20. Extension complexity and realization spaces of hypersimplices
    Francesco Grande, Arnau Padrol, Raman Sanyal
    Discrete & Computational Geometry. An International Journal of Mathematics and Computer Science, vol. 59, no. 3, 621–642 (2018)
    journal · journal · arXiv
  21. Lipschitz polytopes of posets and permutation statistics
    Raman Sanyal, Christian Stump
    Journal of Combinatorial Theory. Series A, vol. 158, 605–620 (2018)
    journal · full text · arXiv
  22. Reflection groups, reflection arrangements, and invariant real varieties
    Tobias Friedl, Cordian Riener, Raman Sanyal
    Proceedings of the American Mathematical Society, vol. 146, no. 3, 1031–1045 (2018)
    journal · arXiv
  23. Combinatorial mixed valuations
    Katharina Jochemko, Raman Sanyal
    Advances in Mathematics, vol. 319, 630–652 (2017)
    journal · report · journal · arXiv
  24. Minkowski complexes and convex threshold dimension
    Florian Frick, Raman Sanyal
    Journal of Combinatorial Theory. Series A, vol. 151, 202–206 (2017)
    journal · full text · arXiv
  25. Mixed Ehrhart polynomials
    Christian Haase, Martina Juhnke-Kubitzke, Raman Sanyal, Thorsten Theobald
    Electronic Journal of Combinatorics, vol. 24, no. 1, Paper 1.10, 14 (2017)
    full text · arXiv
  26. On degree sequences of undirected, directed, and bidirected graphs
    Laura Gellert, Raman Sanyal
    European Journal of Combinatorics, vol. 64, 113–124 (2017)
    journal · full text · arXiv
  27. Theta rank, levelness, and matroid minors
    Francesco Grande, Raman Sanyal
    Journal of Combinatorial Theory. Series B, vol. 123, 1–31 (2017)
    journal · full text · arXiv
  28. Two double poset polytopes
    Thomas Chappell, Tobias Friedl, Raman Sanyal
    SIAM Journal on Discrete Mathematics, vol. 31, no. 4, 2378–2413 (2017)
    journal · arXiv
  29. Relative Stanley–Reisner theory and Upper Bound Theorems for Minkowski sums
    Karim Adiprasito, Raman Sanyal
    Publications Mathématiques. Institut de Hautes Études Scientifiques, vol. 124, 99–163 (2016)
    journal · arXiv
  30. An Alexander-type duality for valuations
    Karim Adiprasito, Raman Sanyal
    Proceedings of the American Mathematical Society, vol. 143, no. 2, 833–843 (2015)
    full text · arXiv
  31. Deciding polyhedrality of spectrahedra
    Avinash Bhardwaj, Philipp Rostalski, Raman Sanyal
    SIAM Journal on Optimization, vol. 25, no. 3, 1873–1884 (2015)
    journal · journal · full text · arXiv
  32. Smooth hyperbolicity cones are spectrahedral shadows
    Tim Netzer, Raman Sanyal
    Mathematical Programming, vol. 153, no. 1, 213–221 (2015)
    journal · arXiv
  33. Arithmetic of marked order polytopes, monotone triangle reciprocity, and partial colorings
    Katharina Jochemko, Raman Sanyal
    SIAM J. Discrete Math., vol. 28, no. 3, 1540-1558 (2014)
    arXiv · journal
  34. Laplacian ideals, arrangements, and resolutions
    Anton Dochtermann, Raman Sanyal
    J. Algebraic Combin., vol. 40, no. 3, 805-822 (2014)
    arXiv · journal
  35. On the derivative cones of polyhedral cones
    Raman Sanyal
    Adv. Geom., vol. 13, no. 2, 315-321 (2013)
    journal · arXiv
  36. The entropic discriminant
    Raman Sanyal, Bernd Sturmfels, Cynthia Vinzant
    Advances in Mathematics, vol. 244, 678–707 (2013)
    journal · full text · arXiv
  37. Ehrhart theory, modular flow reciprocity, and the Tutte polynomial
    Felix Breuer, Raman Sanyal
    Mathematische Zeitschrift, vol. 270, no. 1-2, 1–18 (2012)
    journal · full text · arXiv
  38. Non-projectability of polytope skeleta
    Thilo Rörig, Raman Sanyal
    Adv. Math., vol. 229, no. 1, 79-101 (2012)
    journal · full text · arXiv
  39. Tropical types and associated cellular resolutions
    Anton Dochtermann, Michael Joswig, Raman Sanyal
    J. Algebra, vol. 356, no. 1, 304-324 (2012)
    full text · arXiv
  40. Orbitopes
    Raman Sanyal, Frank Sottile, Bernd Sturmfels
    Mathematika. A Journal of Pure and Applied Mathematics, vol. 57, no. 2, 275–314 (2011)
    journal · arXiv
  41. Construction and analysis of projected deformed products
    Raman Sanyal, Günter M. Ziegler
    Discrete & Computational Geometry. An International Journal of Mathematics and Computer Science, vol. 43, no. 2, 412–435 (2010)
    journal · arXiv
  42. Combinatorial Stokes formulas via minimal resolutions
    Bernhard Hanke, Raman Sanyal, Carsten Schultz, Günter M. Ziegler
    Journal of Combinatorial Theory. Series A, vol. 116, no. 2, 404–420 (2009)
    journal · arXiv
  43. On Kalai's conjectures concerning centrally symmetric polytopes
    Raman Sanyal, Axel Werner, Günter M. Ziegler
    Discrete & Computational Geometry. An International Journal of Mathematics and Computer Science, vol. 41, no. 2, 183–198 (2009)
    journal · arXiv
  44. Topological obstructions for vertex numbers of Minkowski sums
    Raman Sanyal
    Journal of Combinatorial Theory. Series A, vol. 116, no. 1, 168–179 (2009)
    journal · report · arXiv

misc