Jack S. Calcut

 

 

Contact Information

            Department of Mathematics

            Michigan State University

            East Lansing MI 48824

 

Email: jack@math.msu.edu

Office: D325 Wells Hall

Office Phone: 517-353-0881

 

CV    Publications    ArXiv Articles    ArXiv Abstracts

 

Research Interests

Low dimensional topology, Artin Presentations

(What is…an Artin Presentation? H. E. Winkelnkemper, 2003)

(Open Books, F. González-Acuña, Iowa Notes, 1975)

Real algebraic topology, singularities

Geometric topology

 

Recent Publications and Preprints (comments welcome)

Quotient Maps with Connected Fibers and the Fundamental Group

            (with Bob Gompf and John McCarthy) submitted May 2009

Discreteness and Homogeneity of the Topological Fundamental Group

            (with John McCarthy) Topology Proceedings, Vol. 34, July 22, 2009, 339-349.

Torelli Actions and Smooth Structures on 4-manifolds

J. Knot Theory Ramifications, Vol. 17, No. 2, Feb. 2008, 171-190

Gaussian Integers and Arctangent Identities for Pi

            American Mathematical Monthly, June/July 2009, 515-530

Connected Sum at Infinity and Cantrell-Stallings Hyperplane Unknotting

                        (with Henry King and Larry Siebenmann) submitted 2008

Grade School Triangles

            accepted at the American Mathematical Monthly, October 2009, 15 pp.

The Tangent Analogues of the Chebyshev Polynomials

            submitted 2008

 

Just for Fun

Does XYY=ZZ imply X is a square?

Powers of Gaussian Integers

Proof Without Words: Dense and convex subsets of Euclidean space

 

Previous Courses Taught

 

Ideal Pendulum Handouts #1 #2 #3

 

Fall 2009 Teaching

MTH 309 Section 001 --- Homework

MTH 309 Section 002 --- Homework

 

Summer 2009 Teaching (First Half Session)

MTH 421 Analysis II --- Homework

 

Spring 2009 Teaching

MTH 132 Section 014 --- Homework

MTH 132 Section 017 --- Homework

 

Fall 2008 Teaching

MTH 132 Section 006 --- Homework

MTH 132 Section 020 --- Homework

 

Links

[MSU] [LIBRARY] [MSU MATH] [GT@MSU] [MAGMA]

 

[TOPOLOGY CONFERENCES] [MRESUBS]

 

Last Updated: 11/7/2009