Daniel M. Kane
Permanent home address:
Cell: (608) 469-0324
I am moving my webpage to Harvard, since I will lose my MIT account soon. I will no longer guarantee that this page is up to date. Please change your bookmarks to http://www.math.harvard.edu/~dankane/
I am a Harvard math grad student with the funding of the NDSEG fellowship. I also have some interests in algorithms and physics. My username is dankane and you can email me at username @alum.mit.edu, or @math.harvard.edu, I also have a gmail account with username ALadKeenIn.
Here is my CV.
Research
I have done a fair bit of research in Mathematics and Theoretical Computer
Science.
Publications (links
are .pdf):
· Daniel M. Kane On Solving Games Constructed Using Both Shortened and Continued Conjunctive Sums, in preparation.
· Jeffery S. Cohen, and Daniel M. Kane Bounds on the Independence Required for Cuckoo Hashing, in preparation.
· Chris Dodd, Phakawa Jeasakul, Anne Jirapattanakul, Daniel M. Kane, Becky Robinson, Noah Stein, and Cesar E. Silva Ergodic Properties of a Class of Discrete Abelian Group Extensions of Rank-One Transformations, in preparation.
· Daniel M. Kane A Partition of the Positive Reals into Algebraically Closed Subsets, submitted to Proceedings of the AMS.
· Daniel M. Kane Improved Bounds on the Number of Ways of Expressing t as a Binomial Coefficient, submitted to Integers.
· Daniel M. Kane On Lower Bounds on the Size of Sums-of-Squares Formulas, submitted to Journal of Number Theory.
· Daniel M. Kane Weak Mixing of a Transformation Similar to Pascal, to appear Colloquium Mathematicum.
· Daniel M. Kane Asymptotics of McKay Numbers for Sn, Journal of Number Theory, 124 (2007) pp. 200-228.
· Dan Gulotta, Daniel M. Kane, Andrew Spann Application of Min-Cost Flow to Airline Accessibility Services UMAP Journal, Vol. 27 (2006).
· Daniel M. Kane Generalized Base Representations Journal of Number Theory, 120 (2006) pp. 92-100.
· Daniel M. Kane and Jonathan M. Kane Dropping Lowest Grades Mathematics Magazine, (2006) 79 (June) pp. 181-189.
· Daniel M. Kane An Elementary Derivation of the Asymptotics of Partition Functions The Ramanujan Journal, Vol. 11 (2006) no. 1 pp. 49-66.
· Dan Gulotta, Daniel M. Kane, Andrew Spann Lane Changes and Close Following: Troublesome Tollbooth Traffic(6 MB) UMAP Journal, Vol. 26 (2005) no. 3. pp. 251-264.
· Tim G. Abbott, Daniel M. Kane, Paul Valiant On the Complexity of Two-Player Win-Lose Games Foundations Of Computer Science, 2005.
· Tim Abbott, Erik D. Demaine, Martin L. Demaine, Daniel M. Kane, Setfan Langerman, Jelani Nelson,Vincent Yeung Dynamic Ham-Sandwich Cuts of Polygons in the Plane Proceedings of the 17th Canadian Conference on Computational Geometry, (2005) pp. 61-64.
· Daniel M. Kane On the Number of Ways of Writing t as a Product of Factorials Integers: Electronic Journal of Combinatorial Number Theory, Vol. 5 (2005), #A02, pp. 1-10.
· Daniel M. Kane Resolution of a Conjecture Involving Cranks of Partitions of Andrews and Lewis Proceedings of the American Mathematical Society, Vol. 132 (2004) No. 8, pp. 2247-2256.
· Daniel M. Kane New Bounds on the Number of Representations of t as a Binomial Coefficient Integers: Electronic Journal of Combinatorial Number Theory, Vol. 4 (2004), #A07, pp. 1-10.
Talks (links are
.ppt):
· Daniel M. Kane The Number of Ways of Expressing t as a Binomial Coefficient Joint Mathematics Meetings, January 2007.
· Daniel M. Kane On Solving Games Constructed Using Both Shortened and Continued Conjunctive Sums Joint Mathematics Meetings, January, 2006.
· Daniel M. Kane Ergodic Properties of Group Extensions of Rank 1 Transformations Part II Mathfest, August, 2004.
Coauthors: Tim Abbott, Jeffery Cohen, Erik Demaine, Martin Demaine, Chris Dodd, Dan Gulotta, Phakawa Jeasakul, Anne Jirapattanakul, Jonathan Kane, Setfan Langerman, Jelani Nelson, Becky Robinson, Cesar E. Silva, Andrew Spann, Noah Stein, Paul Valiant, Vincent Yeung
Clubs
Here are some clubs in which I participate.
· Undergraduate Mathematics Association I was the VP for the 2005-2006 school year (which means that I arranged the lectures)
· MITSFS
· MITBEEF
Summer Programs
Here are some summer programs in which I have participated.
· I am spending summer of 2007 working at CCR Princeton.
· I spent summer 2006 working with Erik Demaine on problems in theoretical computer science.
· Duluth REU, the undergraduate research program in Duluth. I participated the summer of 2005 and briefly in 2003 and 2006.
· SMALL Program, the REU at Williams College. I participated during the summer of 2004.
· Math Olympiad Summer Program, the training camp for the United States Math Olympics Team. I participated during the summers 1999-2003, and competed in the International Mathematical Olympiad in 2002, 2003.
· US Physics Team, the training camp for the United States Physics Olympics Team. I participated during the summer of 2002.
· Young Shakespeare Players, a Madison-based program where kids aged 7-18 produce uncut Shakespeare plays. I participated in the summers of 1997-1999 and 2001 acting in The Winter's Tale, Macbeth, Cymbeline and Othello. I also participated in a couple of their winter workshops.