Dilip Raghavan

Office location: 304 Fields Institute Mailing Address: Department of Mathematics 40 St. George St University of Toronto Toronto, ON M5S 2E4 raghavan at math dot toronto dot edu

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Research interests

Mathematical Logic, Set Theory and General Topology.

Curriculum Vitae

Research Statement

Papers

1. There is a Van Douwen mad family, Trans. Amer. Math. Soc., vol. 362 (2010), no. 11, pp. 5879-5891.
2. (with Kenneth Kunen ) Gregory Trees, the Continuum, and Martin's Axiom, J. Symbolic Logic, vol. 74 (2009), no. 2, pp. 712--720.
3. Maximal almost disjoint families of functions, Fund. Math., vol. 204 (2009), no. 3, pp. 241-282.
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., to appear (accepted 3 May 2010).
6. (with J. Steprans ) On weakly tight families, to appear.
7. (with S. Todorcevic ) Cofinal types of ultrafilters, to appear.
8. P-ideal dichotomy and weak squares, submitted.
9. (with S. Shelah) Embedding partial orders into the P-points under Tukey reducibility, in preparation.
10. (with T. Yorioka ) Suslin Lattices, in preparation.
11. Some Preservation Theorems for Countable Support Iterations, in preparation.

Upcoming and Recent Talks

• I will give a plenary lecture at The ASL 2010 North American Annual Meeting, Washington, D.C.
• I will give a talk at The 14th SouthEastern Logic Symposium, Gainesville, FL .
• I gave a talk at The Workshop on Combinatorial set theory and forcing theory , RIMS, Kyoto University, Japan.
• I gave a talk at BLAST 2009, Las Cruces, New Mexico.
• I gave a talk at The second european set theory meeting: in honor of Ronald Jensen, Mathematical Research and Conference Center, Bedlewo, Poland.
• I was on an invited visit to UCLA in April 2009. I gave a few lectures at the logic seminar there.
• I was co-organizer of Kunen Fest, A conference in Set Theory and Set Theoretic Topology in honor of Ken Kunen held at Madison, WI.
• I will give a talk at The Steel VIG 2009 at UCLA, Los Angeles, CA. (Slides).
• I will give another talk at The Set Theory Seminar Series at the Fields Institute, Toronto, ON.
• I gave a talk at The Set Theory Seminar Series at the Fields Institute, Toronto, ON.
• I will give a talk at The Southern Wisconsin Logic Colloquium, Madison, WI.
• I will give a talk at The 42ND Annual Spring Topology and Dynamics Conference. (Slides).
• I will give a talk at The BEST 17 Conference, 2008.

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Teaching

• MAT344 Introduction to Combinatorics (Fall 2008)
• MAT224 Linear Algebra II (Spring 2009).
• MAT244 Introduction to Ordinary Differential Equations (Fall 2009).