Dilip Raghavan

Office location: S17-07-15
Mailing Address:
Department of Mathematics
National University of Singapore
10 Lower Kent Ridge Road
Singapore, 119076
Email Addresses:


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Research interests

Mathematical Logic, Set Theory and General Topology.

Curriculum Vitae

Papers

  1. (with K. Kunen) Gregory Trees, the Continuum, and Martin's Axiom, J. Symbolic Logic, vol. 74 (2009), no. 2, pp. 712--720.
  2. Maximal almost disjoint families of functions, Fund. Math., vol. 204 (2009), no. 3, pp. 241--282.
  3. There is a Van Douwen mad family, Trans. Amer. Math. Soc., vol. 362 (2010), no. 11, pp. 5879--5891.
  4. Almost disjoint families and diagonalizations of length continuum, Bull. Symbolic Logic, vol. 16 (2010), no. 2, pp. 240--260.
  5. A model with no strongly separable almost disjoint families, Israel J. Math., vol. 189 (2012), 39--53.
  6. (with J. Steprans) On weakly tight families, Canad. J. Math., vol. 64 (2012), no. 6, 1378--1394.
  7. (with S. Todorcevic) Cofinal types of ultrafilters, Ann. Pure Appl. Logic, vol. 163 (2012), no. 3, 185--199.
  8. (with S. Shelah) Comparing the closed almost disjointness and dominating numbers, Fund. Math., vol. 217 (2012), no. 1, 73--81.
  9. P-ideal dichotomy and weak squares, J. Symbolic Logic, vol. 78 (2013), no. 1, 157--167.
  10. (with T. Yorioka) Suslin Lattices, Order, vol. 31 (2014), no. 1, 55--79.
  11. (with H. Mildenberger and J. Steprans) Splitting families and complete separability, Canad. Math. Bull., vol. 57 (2014), no. 1, 119--124.
  12. (with J. Brendle) Bounding, splitting, and almost disjointness, Ann. Pure Appl. Logic, vol. 165 (2014), no. 2, 631--651.
  13. (with S. Todorcevic) Combinatorial dichotomies and cardinal invariants, Math. Res. Lett., vol. 21 (2014), no. 2, 379--401.
  14. (with A. Blass and N. Dobrinen) The next best thing to a P-point, J. Symbolic Logic, vol. 80 (2015), no. 3, 866--900.
  15. (with S. Shelah) On embedding certain partial orders into the P-points under RK and Tukey reducibility, Trans. Amer. Math. Soc., vol. 369 (2017), no. 6, 4433--4455.
  16. (with S. Shelah) Two inequalities between cardinal invariants, Fund. Math., vol. 237 (2017), no. 2, 187--200.
  17. (with P. B. Larson) Real games and strategically selective coideals, in Sets and computations, Lect. Notes Ser. Inst. Math. Sci. Natl. Univ. Singap., vol. 33 (2017), 45--54.
  18. (with R. Hölzl and F. Stephan and J. Zhang) Weakly represented families in reverse mathematics, in Computability and complexity, Lecture Notes in Comput. Sci., vol. 10010 (2017), Springer, Cham, 160--187.
  19. (with S. Todorcevic) Suslin trees, the bounding number, and partition relations, Israel J. Math., vol. 225 (2018), no. 2, 771--796.
  20. (with B. Kuzeljevic) A long chain of P-points, J. Math. Log. vol. 18 (2018), no. 1, 1850004, 38 pp.
  21. (with S. Shelah) Two results on cardinal invariants at uncountable cardinals, in Proceedings of the Asian Logic Conferences 2015 and 2017, to appear.
  22. More on the density zero ideal, submitted.
  23. (with J. Verner) Chains of P-points, submitted.
  24. (with S. Todorcevic) Proof of a conjecture of Galvin, submitted.
  25. (with R. Johnston) Complexity of index sets of descriptive set-theoretic notions, submitted.
  26. (with S. Shelah) On the reaping number at the first Mahlo cardinal, in preparation.
  27. (with K. Higuchi and S. Lempp and F. Stephan) The order dimension of locally countable partial orders, in preparation.
  28. (with S. Shelah) A small ultrafilter number at smaller cardinals, in preparation.
  29. (with J. Brendle and O. Guzmán and M. Hrušák) Combinatorial properties of MAD families, in preparation.
  30. (with S. Shelah) Boolean ultrapowers and iterated forcing, in preparation.

Upcoming and Recent Talks


Teaching