Tyler J. Evans - Department
of
Mathematics - Humboldt State University - Arcata, CA
Publications
- On the restricted Lie
algebra structure of the Witt Lie
algebra in finite characteristic (with D. Fuchs), Funct. Anal.
Appl., Vol. 36, No. 2, pp. 140-144, April-June, 2002.
- Deriving divisibility
theorems with Burnside's theorem
(with
B. Holt), Integers: Elec. J. Comb.
No. Thy., Vol. 5(1), #A26, 2005.
- On some generalizations
of Fermat's, Lucas's and Wilson's theorems, Ars
Combinatoria, Vol. 79, pp. 189-194, April 2006.
- Graph adjacency matrix automata
(with J. Abbott, P. Chinn and A. Stewart), Congressus Numerantium, Vol. 188
(2007), pp. 143-149.
- A complex for the
cohomology of restricted Lie algebras
(with D. Fuchs). Journal
of Fixed Point Theory and Applications, Vol. 3, No. 1, pp. 159-179, May
2008,
Birkhauser
Verlag, Basel/Switzerland. DOI 10.1007/s11784-008-0060-y.
- Discovering binomial
identities with PasgaloisJE.
PRIMUS, Vol. 18, No. 4, pp.
361-369, July 2008, Taylor and Francis, UK. DOI:
10.1080/10511970701299492.
- Exploiting Symmetry in Pascal's
Triangle Modulo a Prime,
PascGalois Abstract Algebra Classroom
Resources, MathDL - The MAA Mathematical Sciences Digital Library, July
2008, http://mathdl.maa.org/mathDL/47/?pa=content&sa=viewDocument&nodeId=2636
- The Chinese Remainder Theorem (with E. Burroughs). Mathematics Teaching
in the Middle School, Vol. 14, No. 7, pp. 436-439, March 2009.
- Restricted Cohomology of Modular Witt Algebras (with A. Fialowski and M. Penkava). Transactions of the American Mathematical Society, to appear.
- Restricted One-dimensional Central Extensions of Simple Restricted Lie Algebras (with A. Fialowski). submitted.
In preparation
- Group actions on group
valued finite cellular automata.
Recent Talks
- Generalizing Some Well Known Congruences Using Burnside's Theorem, MAA MathFest, Portland, OR, August 7, 2009.
- Khovanov's Cohomology for Knots and Links, HSU
Mathematics
Colloquium, September 25, 2008.
- Redesigning Assessment and
Placement for Mathematics at Humboldt State, CSU Proficiency in
the First Year at the University Conference, Los Angeles, CA, October
31, 2008.
- Group Valued Finite
Cellular Automata, HSU Mathematics
Colloquium, March 8, 2007.
- Never
Underestimate a
Theorem That Counts Something!, Occidental College, Los
Angeles, CA,
March 31, 2006.
- Never Underestimate a
Theorem That Counts Something!, Sonoma State University
Mathematics Colloquium, Sonoma State University, Rohnert Park, CA,
March 8, 2006.
- On Some
Generalizations
of Fermat's, Lucas's and Wilson's Theorems, AMS/MAA Joint
Mathematics Meetings, San Antonio, Texas, January 14, 2006.
- Number
Theoretic Applications to Group Generated Cellular Automata, (with
M. Bardzell), AMS/MAA Joint Mathematics Meetings, San Antonio, Texas,
January 12, 2006.
- Never Underestimate a
Theorem That Counts Something, 35th Annual State of Jefferson
Mathematics Congress, Whiskeytown Lake, CA, October 1, 2005.
- On Some Generalizations
of Fermat's, Lucas's and Wilson's Theorems, HSU Mathematics
Colloquium, September 29, 2005.
- Discovering Binomial
Identities with
PascalGT, MAA MathFest 2005, University of New
Mexico, Albuquerque, New Mexico, August 6, 2005.
- Binomial
Identities with
PascalGT, MAA Intermountain Section Meeting, Idaho
State
University, Pocatello, Idaho, March 5, 2005.
- On Khovanov's (co-)
Homology for Links, Commutative Algebra Seminar,
University of
Utah, November 19, 2004.
- Group
Actions in Number
Theory, MAA MathFest 2004, Brown University,
Providence,
Rhode Island, August 14, 2004.
Education