# Books

1. A First Course in Geometric Topology and Differential Geometry, Birkhäuser, Boston, 1996.
2. Proofs and Fundamentals: A First Course in Abstract Mathematics, Birkhäuser, Boston, 2000.
3.  This book is now replaced by the second edition, listed below. All errors stated in the errata for the first edition (except for a few that were caught too late) have been corrected in the second edition, and many other changes have been made. Errata for "Proofs and Fundamentals, first edition"
4. Proofs and Fundamentals: A First Course in Abstract Mathematics, second edition, Springer, New York, 2010.
5.  Publisher's information Errata for "Proofs and Fundamentals, second edition" Proof of Zorn's Lemma You are the Professor
6. The Real Numbers and Real Analysis, Springer, New York, 2011.

# Papers

1. (with R. Connelly and D. W. Henderson) The space of simplexwise linear homeomorphisms of a convex 2-disk, Topology 23 (1984), 161-175.  pdf
2. Simplexwise linear near-embeddings of a 2-disk into R2, Trans. Amer. Math. Soc. 288 (1985), 701-722.  pdf
3. Strictly convex simplexwise linear embeddings of a 2-disk, Trans. Amer. Math. Soc. 288 (1985), 723-737.  pdf
4. Simplexwise linear near-embeddings of a 2-disk into R2, II, Topology Appl. (1987), 93-101.  pdf
5. Simplexwise linear and piecewise linear near self-homeomorphisms of surfaces, Fund. Math. 132 (1989), 151-162.  pdf
6. Complexes whose boundaries cannot be pushed around, Discrete Comput. Geom. 4 (1989), 365-374.
7. A combinatorial Chern-Weil theorem for 2-plane bundles with even Euler characteristic, Israel J. Math. 67 (1989), 193-216.  pdf
8. The angle defect for arbitrary polyhedra, Beitrage Algebra Geom. 39 (1998), 379-393.
9. Critical points and the angle defect, Geom. Dedicata 109 (2004), 121-137.  pdf
10. The angle defect for odd-dimensional simplicial manifolds, Discrete Comput. Geom. 35 (2006), 311-328.  pdf
11. Mod 2 degree and a generalized no retraction theorem, Math. Nachr. 279 (2006), 490-494.  pdf
12. A simple proof of a generalized no retraction theorem, Amer. Math. Monthly 116 (2009), 342-350.  pdf
13. A characterization of the angle defect and the Euler characteristic in dimension 2, Discrete Comput. Geom. 43 (2010), 100-120.  pdf
14. Polyhedral representation of discrete Morse functions, Discrete Math. 313 (2013), 1342-1348.  pdf
15. Functions of finite simplicial complexes that are not locally determined, Australas. J. Combin. 65 (2016), 261-272.  pdf
16. Combinatorial Ricci curvature for polyhedral surfaces and posets, in preparation.
17. Strongly Delaunay polygons, in preparation.

Ethan Bloch
Professor of Mathematics
Bard College

Office Hours:

• Monday: 5:00-6:00
• Tuesday: 2:30-4:00
• Thursday: 2:00-3:30
• Or by appointment