Tewodros Amdeberhan, Mathematics

The local existence theory of solutions of the Einstein equations is rather well understood. On the other hand, the problem of proving ‘global’ existence theorems is totally another matter...

TEWODROS AMDEBERHAN - From 'A one-parameter family of cylindrically symmetric solution approaching Einstein’s universe'

Visiting Professor 2007-2008
Hosted by the Department of Mathematics

Tewodros Amdeberhan is a Professor at Tulane University. Research interests: Combinatorics, Number Theory, Special functions, Partial Differential Equations, Computer Algebra, Algorithmic Proof Theory, and Harmonic Analysis.

2007-2008 Scholars

Tewodros Amdeberhan is a Professor at Tulane University. His research interests are: Combinatorics, Number Theory, Special functions, Partial Differential Equations, Computer Algebra, Algorithmic Proof Theory, and Harmonic Analysis.

Dr. Amdeberhan holds a BS and MS in Mathematics (both with a Minor in Physics) from Addis Ababa University in Ethiopia and a PhD in Mathematics from Temple University (1997). He is a Permanent Member of the Center for Discrete Mathematics and Theoretical Computer Science (DIMACS) at Rutgers University and has taught at DeVry College of Technology and Princeton University.  

As an MLK Visiting Professor, Dr. Amdeberhan was hosted by the Department of Mathematics, where he taught seminars in discrete mathematics, gave lectures, and participated in various conferences and colloquia.

Sample Publications, 2007-2014


 Congruences for the Almkvist-Zudilin numbers, preprint. 

 (with E Leven) Multi-cores, posets, and lattice paths, preprint. 

 Explicit computations with the Divided Symmetrization operator, preprint. 

 (with M B Can, M Jensen) Divisors and specializations of Lucas polynomials, preprint. 

 (with V Moll) Involutions and their progenies, preprint.

 (with X Chen, V Moll, B Sagan) Generalized Fibonacci polynomials and Fibonomial coefficients, Annals of Combinatorics, to appear.

 (with A Dixit, X Guan, L Jiu, V Moll) Unimodality of polynomials from rational integral: proof revisited, to appear, J Math Anal & Appl.

 (with V. De Angelis, A. Dixit, V Moll, C. Vignat) From sequences to polynomials via operator orderings, J. Mathematical Physics, to appear.

 Theorems, problems and conjectures, preprint.

 (with D Callan, V H Moll) p-adic analysis and combinatorics of truncated exponential sums, J INTEGERS, Volume 13, paper A21, 2013.

 (with V H Moll, C Vignat) A probabilistic interpretation of a sequence related to Narayana polynomials, OnLine J Combinatorics, V 8, #3, 2013.

 (with D Borwein, J Borwein, A Straub) Normalizing factor in a q-Dirac delta, J Mathematical Physics, V.53 #7, 2012.

 (with V H Moll, V G Papanicolaou) A family of palindromic polynomials, Scientia, Series A: Math. Sciences 24, 2013, 25-32.

 (with O Espinosa, I Gonzalez, M Harrison, V H Moll, A Straub) On Ramanujan's Master Theorem, (online 1st) The Ramanujan J, 11 Jan. 2012.

 (with V De Angelis, V H Moll) Complementary Bell numbers: Wilf's conjecture, Advances in Combinatorics, 2013, pp 23-56

 Differential operators, shifted parts, and hook lengths, The Ramanujan J, Vol 24, #3, 2011. Follow the link for background material.

 (with M Can, V H Moll) Broken bracelets, Molien series, paraffin wax and an elliptic curve of conductor 48, SIAM J. Discrete Math. V.25, #4, 2011, pp.1843-1859. (warning: large file).

 (V de Angelis, M Lin, V H Moll, B Sury) A binomial identity, Elemente der Mathematik, V.67, #1, 2012, pp.18-25.

 (with V H Moll, C Vignat) A quartic integral a la Schwinger, Schur and Bessel, The Ramanujan J, V.28, #1, 2012.

 (with V H Moll) Arithmetic properties of plane partitions in a hypercube, Elec. J. Combin., V.18, #R1, 2011.

 (with C Koutschan, V H Moll, E Rowland) The iterated integrals of ln(1+x^n), Inter. J. Number Theory, V.8, #1, 2012.

 (with V H Moll) A by-product of an integral evaluation, to appear, The Ramanujan J.

 (with L Medina, V Moll) Gems in Experimental Mathematics, this book is V.517, AMS Contemporary Math, July 2010.

 (with Coffey, Espinosa, Koutschan, Manna, Moll) Integrals of powers of loggamma, Proc. Amer. Math. Soc., #139, 2011.

 (with O Espinosa, V Moll, A Straub) Wallis-Ramanujan-Schur-Feynman, Amer. Math. Monthly, August/Sept., 2010.

 A note on a question due to A. Garsia, , in Contemporary Mathematics, V.517, July 2010.

 (with V Moll, A Straub) One-loop correction integrals for orthopositronium lifetimes in QED, J Math. Physics, #50, 2009.

 (with G Heinig) Is every complex matrix similar to a Toeplitz matrix? Birkhauser, V.199, Jan. 2010. In memoriam, Georg Heinig, a wonderful Mensch!

 (with R P Stanley) Polynomial coefficient enumeration, preprint.

 (with M Glasser, M Jones, V Moll, R Posey, D Varela) The Cauchy-Schlomilch transformation, preprint.

 A note on Fibonacci-type polynomials, J. of INTEGERS, #A2, 10 (2010).

 (with A. Straub, V.H. Moll) Valuation of k-binomial coefficients, Acta Arithmetica, #149, 2009, 31-42.

 (with V H Moll) Tapas in Experimental Mathematics - this book is V. 457, AMS Contemporary Math, 2008. 

 (with V.H. Moll) A dozen integrals: Russell-style Math Newsletter, Ramanujan Math Soc, Vol 18, #1 June 2008.

 (with L. Medina, V.H. Moll) p-adic asymptotic analysis. Proc. Amer. Math. Soc., v.137, #3, March 2009.

 (with O. Espinosa, V.H. Moll) Laplace transform of the digamma function: integral due to Glasser-Manna-Oloa, Proc. Amer. Math. Soc., 136 (2008).

 Integrals in Gradshteyn & Ryzhik: Part 5 and Part 7 and Part 9 and Entry 3.411.5.

 (with D. Zeilberger) "Trivializing" generalizations of some Izergin-Korepin-type determinants. Discrete Math. & Theor. Comp. Sci. 9 (2007), Nancy, France.

 (with L. Medina, V.H.Moll) A dynamical system of arctangent sequence, Jour. Number Theory, 128 (2008).

 (with V.H.Moll) A formula for quartic integral: old and new proofs. The Ramanujan Journal, Oct. 2007.

 (with V.H.Moll, D. Manna) 2-adic valuation of Stirling Numbers Vol. 17, #1, 2008, Experimental Mathematics.

 (with V.H.Moll, D. Manna) 2-adic valuations arising from rational integral J. Combin. Theory Ser. A, Vol. 115, #8, 2008.