Ludwig, Lew - Denison University

Dr. Lew Ludwig

Affiliation:	Faculty
Title:	Associate Professor
Specialty:	Knot theory and set theoretic topology
Office:	Olin 204
Email:	ludwigl@denison.edu
Phone:	740-587-5638
Fax:	740-587-5749

Ph.D. in Mathematics from Ohio University, 2001

M.S. in Mathematics from Miami University, 1995

M.S. in Education from College of Mount St. Joseph, 1995

B.A. in Mathematics from College of Mount St. Joseph, 1993

B.S. in in Bus. Admn. and Comp. Info. from College of Mount St. Joesph, 1991

View Lew's personal page.

Some Quick Links

My NSF project (0632804) on oral communication, Technically speaking...

The Undergraduate Knot Theory Conference at Denison, UnKnot Conference

Research

Research Publications

When graph theory meets knot theory (with J. Foisy), to appear in Contemporary Mathemaitcs, AMS.

Spaces with a σ-point-discrete weak bases (with C. Liu and S. Lin), Tsukuba J. Math., 32 (2008), no.1, 165-177.

Nagata-Smirnov revisited: spaces with σ-WHCP bases (with C. Liu), Topology Proc. 29 (2005), no. 2, 559–565.

κ-Frchet Urysohn spaces (with C. Liu), Houston J. Math. 31 (2005), no. 2, 391–401.

Hereditarily α-normal spaces and inﬁnite products (with D. Burke), Topology Proc. 25, (2000), Summer, 291–299.

A consistent example of a β -normal, non-normal space (with P. Szeptycki), Topology Proc. 25 (2000), Spring, 251–254.

On α-normal and β -normal spaces (with A.V. Arhangel’skii), Comment. Math. Univ. Carolin. (2001), no. 3, 507–519.

Other Publications

Technically speaking: Fostering the communication skills of computer science and mathematics students (with J. Havill), Proceedingngs of the Thirty-Eighth SIGCSE technical symposium on computer science education, 185–189, 2007.

On the path to scholarship, Proceedings of the Conference on Promoting Undergraduate Research in Mathematics, American Mathematical Society, Providence, RI, 2006.

Math Talk (with C. Adams), Mathematical Intelligencer 27 (2005), no. 3, 31–32.

Hands-on learning in calculus via Maplets-based projects (with K. Howard), The Proceedings of the Sixteenth Annual International Conference on Technology in Collegiate Mathematics, 2003.

Grants

2007 National Science Foundation: Course, Curriculum, and Laboratory Improvement Grant (0632804), $72,746 for the project Technically Speaking to develop a series of instructional video vignettes which will be freely available on the web. This project is rooted in the experiences of the oral communication component of the Math 210 Introduction to Proofs course at Denison.

2007 Mellon Cluster Award: Inter-Institutional Initiatives, $45,000 with colleagues from Furman University, Harvey Mudd College, and Vassar College to host the The Art and Science of Teaching Mathematics. A three day conference held at Harvey Mudd with over 30 participants from the cluster schools.

2006 Mellon Faculty Career Enhancement Program, $3,378 for travel and housing to work with Colin Adams at Williams College for the month of January during junior leave.

2005 National Science Foundation (0443791), $13,825 award with Joan Krone to host the “20th Summer Conference on Topology and Its Applications” at Denison University in July, 2005.

2004 Mellon Faculty Career Enhancement Program, $5,000 award with Joan Krone to participate in the Midland Graduate School Spring Applied Semantics II Workshop in Nottingham, England.

2003 Hands-on Learning in Calculus via Web-based Applets, funded by the Collaboration with Technology Grant funded by the Mellon Foundation, $8,000. Co-PI with Keith Howard of Kenyon College. Employed a student worker from Kenyon College and one from Denison University. Expanded on previous Mellon work and developed Maplets for the web.

2002 Hands-on Learning in Calculus via Computer-based Projects, funded by the Collaboration with Technology Grant from the Mellon Foundation, $15,000. Collaborative eﬀort with Judy Holdener and Keith Howard of Kenyon College and Zaven Karian of Denison University to develop hands-on Maple labs for the calculus sequence.

Selected Research Talks

Links and knots in straight-edge embeddings, 2008 Research Experience for Undergraduates Program Colloquium, SUNY-Potsdam, June, 2008.

Links and stick knots revisited, 2007 Math Colloquium, Manhattan College, November, 2007.

Linking in straight-edge embeddings of complete graphs, Graph Theory and Applications special session, MathFest, San Jose, CA, August, 2007.

When graph theory meets knot theory, Communicating Mathematics, University of Minnesota - Duluth, July, 2007.

Links and stick knots, 2007 Research Experience for Undergraduates Program Colloquium, James Madison University, June, 2007.

Linking in straight-edge embeddings of K_7 , New York City Colleges Topology Seminar, College of Staten Island, December, 2006.

Dowker spaces revisited, 10th Prague topological symposium, Czech Republic, August, 2006.

Recent progress on σ–wHCP spaces , 2005 Spring Topology and Dynamical Systems Conference, Berry College, GA, March, 2005.

σ–wHCP Spaces, New York City Colleges Topology Seminar, University of Connecticut - Stamford, December, 2004.

Nagata-Smirnov revisited: Spaces with σ-weakly hereditarily closure preserving bases, 19th Summer Conference on Topology and Its Applications, University of Cape Town, South Africa, July, 2004.

Current Progress on κ-Fr´echet Urysohn Spaces, New York City CollegesTopology Seminar, College of Staten Island, December, 2003.

Recent progress in the study of κ-Fr´echet Urysohn Spaces, 2003 Summer Conference on Topology and Its Applications, Howard University, July, 2003.

Recent progress in α-type separation axioms and a new type of convergence, Brooklyn Topology Conference, Brooklyn College, June, 2003.

On κ-Fr´echet-Urysohn spaces, presented at the 2002 Zoltan Balough Memorial Conference at Miami University, 2002.

Selected Pedagogical Talks

Technically speaking: fostering the communication skills of CS and Math students, 2007 Fall Ohio MAA Section Meeting, Wittenberg University, October, 2007.

Summer research at Denison, invited talk for the Ohio Project NExT session, University of Miami, April, 2005.

Speaking of Mathematics, 80-minute special MAA panel co-organized with J. Jacobsen of Harvey Mudd College, with speaker Joseph A. Gallian of the University of Minnesota - Duluth at the AMS/MAA National Meetings, Atlanta, GA, January, 2005.

Entering the community of scholars: Summer research at Denison University, special session on Initiating and Sustaining Undergraduate Research Projects and Programs, AMS/MAA National Meetings, Atlanta, GA, January, 2005.

Check digits and error correction, Special Session on Mathematical Applications in Computer Science, AMS/MAA National Meetings, Phoenix, January, 2004.

Computer Visualizations for Calculus, AMS/MAA National Meetings, Phoenix, January, 2004.

Understanding the fundamental theorem of calculus through writing, 2003 AMS/MAA National Meetings, Baltimore, MD, January, 2003.

A Real World Application of the Area Under the Curve, 2002 MAA MathFest, Burlington, VT, August, 2002.