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Dr. Lew Ludwig
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.
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Some Quick Links
NSF project (0632804) on oral communication, Technically speaking...
The 2012 Undergraduate Knot Theory Conference at Denison, UnKnot Conference
Technically Speaking, resources
Research
Research Publications
Linking in straight-edge embeddings of K7, J. Knot Theory Ramifications, 19 (2010), no. 11, 1431-1447.
Dowker spaces revisited (with P. Nyikos, J.E. Porter), Tsukuba J. Math., 34 (2010), no.1, 1-11.
When graph theory meets knot theory (with J. Foisy) 67--85, Contemporary Mathemaitcs, 479, Amer. Math. Soc., Providence, RI, 2009.
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, Resources for Undergraduate Research, MAA.org, Dec., 2010.
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
2009 National Science Foundation: $33,520 award with Colin Adams of Williams College to host the 2012 Undergraduate Knot Theory Conference at Denison University in July, 2012.
2009 National Science Foundation: $28,000 award with Colin Adams of Williams College to host the Undergraduate Knot Theory Conference at Denison University in July, 2009.
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
Knot mosaics, 2012 UnKnot Conference, Denison University, Granville, OH, July, 2012.
When topology meets chemistry, Park City Math Institute, July, 2011.
Knot mosaics: results and open questions, 2011 Research Experience for Undergraduates Program Colloquium, Brigham Young University, July, 2011.
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.
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.
Recent progress in the study of κ-Fr´echet Urysohn Spaces, 2003 Summer Conference on Topology and Its Applications, Howard University, July, 2003.
Contracted workshops/major presentations
Technically Speaking: preparing students to communicate technical information in a non-technical world, invited workshop presenter for the Mathematical Association of America and Project NExT. Fully funded by the MAA, August, 2012.
Mathematical research... it's knot what you think!, contracted to develop hands-on activity in knot theory for the American Mathematical Society and present at the two-day USA Science and Engineering Festival in Washington, D.C. which drew over 150,000 attendees. Secured funding to include four Denison students: Nathan Zakahi ('12), Holly Wilson ('13), Janie Frandsen ('14), and Paul Yang ('15). Fully funded by the AMS, April, 2012.
Preparing students to communicate mathematics, organized and presented a two-day mini-course with Michael Orrison, Harvey Mudd College, with 22 attendees, 2009 MathFest. Fully funded by the MAA, August, 2009.
Selected Pedagogical Talks
Developing the life skill of thinking mathematically, invited paper session Offering Students Lessons Beyond Mathematics, Through Mathematics, 2011 MathFest, Lexington, KY, August, 2011.
Developing students mathematical (oral) language skills, invited panel presentation for Project NExT, 2011 Joint Mathematical Meetings, New Orleans, LA, January, 2011.
How to present technical information to a general audience, invited address to the 2010 Research Experience for Undergraduates Program Colloquium, Brigham Young University, July, 2010.
Preparing students to communicate mathematics, organized and presented during 80-minute panel discussions supported by the MAA CUPM Subcommittee on Research by Undergraduates - Project NExT Panel Discussion, with Joseph A. Gallian, University of Minnesota -- Duluth, Darren Naryan, RIT, and Michael Orrison, Harvey Mudd College, Joint Mathematics Meetings, Washington D.C., January, 2009.
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.