Email: esfahani (@) sharif.ir

Phone: +98-21-66165646

Fax: +98-21-66005117

Mail address:

Department of Mathematical Sciences

Sharif University of Technology

P.O. Box: 11155-9415

Tehran, Iran

Email: esfahani (@) sharif.ir

Phone: +98-21-66165646

Fax: +98-21-66005117

Mail address:

Department of Mathematical Sciences

Sharif University of Technology

P.O. Box: 11155-9415

Tehran, Iran

**• Heat equation approach to an index theorem on odd dimensional manifolds** (*Bull. Belg. Math. Soc. **Simon Stevin* 16 (2009), no. 4, 647-664).

**• Morse inequalities for manifolds with boundary** (*J. Korean Math. Soc.* 47 (2010), no. 1, 123–134).

**• Index theory and partitioning by enlargeable hyper surfaces** (*J. Noncommut. Geom.* 4 (2010), no. 3, 459–473).

**• Delocalized Betti numbers and Morse type inequalities** (*Rocky Mountain J. Math.* 41 (2011), no. 4, 1361–1374).

**• A higher index theorem on foliated manifolds with boundary** (*Bull. Sci. Math.* 136 (2012), no. 2, 201–238.).

**• A note on some classical results of Gromov-Lawson** (*Proc. Amer. Math. Soc.* 140 (2012), no. 10, 3663–3672)

**• On vanishing of low degree higher A-genera (**Differential Geometry and its Applications,Volume 43, December 2015, Pages 56-59)

**• (joint work with Th. Schick) Large scale index of multi-partitioned manifolds **(Journal of Noncommutative Geometry, vol 12, N 2, pp. 439-456)

**• (joint work with R. Moghadasi) Analytic approach to S¹-equivariant Morse inequalities **(Algebraic & Geometric Topology 22 (2022) 3059–3082)

**Preprints:**

**• A Concise course in Index Theory**

**• On cut-and-past invariance of Kervaire semi-characteristic**