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Carla D. Savage

PhD, Mathematics, University of Illinois;
Professor, Department of Computer Science, North Carolina State University, Box 8206, Raleigh, NC 27695-8206
Secretary, American Mathematical Society, 201 Charles Street, Providence, RI 02904-2294

Research Interests: Combinatorics; enumeration and structure in combinatorial families; theory of partitions; linear Diophantine enumeration; lattice point enumeration; permutation statistics; the combinatorics, geometry, and number theory of lecture hall partitions.



Recent Preprints

Patterns in inversion sequences II: Inversion sequences avoiding triples of relations
M. A. Martinez and C. D. Savage,
preprint, submitted (2018).

Lecture hall partitions and the affine hyperoctahedral group
C. R. H. Hanusa and C. D. Savage,
Electronic Journal of Combinatorics, to appear.

The Mathematics of lecture hall partitions
C. D. Savage
Journal of Combinatorial Theory, Series A, vol. 144 (Nov. 2016) 443-475.

Generating functions and triangulations for lecture hall cones
M. Beck, B. Braun, M. Köppe, C. D. Savage, and Z. Zafeirakopoulos
SIAM J. Discrete Math, vol.30, no. 3 (2016), 1470-1479.

Patterns in inversion sequences I
S. Corteel, M. A. Martinez, C. D. Savage, and M. Weselcouch,
Discrete Mathematics and Theoretical Computer Science, vol. 18, no. 2 (2016)
Permutation Patterns 2015, electronic.

Coefficients of the inflated Eulerian polynomial
J. S. Auli and C. D. Savage, preprint (2015).

Anti-Lecture Hall Compositions and Andrews' generalization of the Watson-Whipple transformation
C. Corteel, J. Lovejoy, and C. D. Savage,
Journal of Combinatorial Theory, Series A, 134 (2015), 188-195.

s-Lecture hall partitions, self-reciprocal polynomials, and Gorenstein cones
M. Beck, B, Braun, M. Koeppe, C. D. Savage, and Z. Zafeirakopoulos,
Ramanujan Journal,, 36 (2015), no. 1-2, 123-147.

The s-Eulerian polynomials have only real roots
C. D. Savage and M. Visontai,
Transactions of the American Mathematical Society, 367, No. 2, (2015), 1441-1466.

The Eulerian polynomials of type D have only real roots
C. D. Savage and M. Visontai,
FPSAC 2013 , Paris.

Hypergeometric identities associated with statistics on words
G. E. Andrews, C. D. Savage and H. S. Wilf,
Advances in Combinatorics , Proceedings of the Waterloo Workshop on Computer Algebra - W80,
I. S. Kotsireas and E. V. Zima, eds., Springer (2013) 77-100.

Lattice point generating functions and symmetric cones
M. Beck, T. Bliem, B. Braun, and C. D. Savage,
Journal of Algebraic Combinatorics, Vol. 38, Issue 3 (2013) 543-566.

Rational lecture hall polytopes and inflated Eulerian polynomials
T. W. Pensyl and C. D. Savage,
Ramanujan Journal, Vol. 31 (2013) 97-114.

Lecture hall partitions and the wreath products C_k \wr S_n
T. W. Pensyl and C. D. Savage,
Integers, 12B, #A10 (2012/13).

The 1/k -Eulerian Polynomials
C. D. Savage and G. Viswanathan,
The Electronic Journal of Combinatorics, Vol. 19 (2012) Research Paper P9 , 21 pp. (electronic).

Ehrhart series of lecture hall polytopes and Eulerian polynomials for inversion sequences,
C. D. Savage and M. J. Schuster,
Journal of Combinatorial Theory, Series A, Vol. 119 (2012) 850-870.

Lecture hall sequences, q-series, and asymmetric partition identities
S. Corteel, C. D. Savage, and A. V. Sills,
in Partitions, q-series, and Modular Forms,
Developments in Mathematics, vol. 23,
Krishnaswami Alladi and Frank Garvan, eds., Springer (2012) 53-68.

Mahonian pairs,
B. E. Sagan and C. D. Savage,
Journal of Combinatorial Theory, Series A 119 (2012) 526-545.

Complete List of Papers

Gray Code Survey Paper
C. D. Savage, "A survey of combinatorial Gray codes", ps or pdf

SIAM Review , 39, No. 4, 1997 605-629.

Frank Ruskey's Combinatorial Object Server

The Electronic Journal of Combinatorics

Frank Ruskey's Venn Diagram Survey

Our Symmetric Venn Diagram for n=7 (M1 from Ruskey's survey paper)

Email: savage AT
Phone: (919) 515-7863
Fax: (919) 515-7896
Mailing Address:
Department of Computer Science, Box 8206
College of Engineering,
North Carolina State University,
Raleigh, NC 27695
Group web page (private),