# Papers and Talks

### [-] Preprints

### [-] Published

- Jonathan Bloom, Alexander Burstein, Egge triples and unbalanced Wilf-equivalence,
*Austral. J. Combin.***64(1)**(2016), 232-251,arXiv:1410.0230. - Alexander Burstein, On the distribution of some Euler-Mahonian statistics,
*J. Combin.***6**(2015), no. 3, 273-284, arXiv:1402.3619. - Alexander Burstein, Jay Pantone, Two examples of unbalanced Wilf-equivalence,
*J. Combin.***6**(2015), no. 1-2, 55-67. - Alexander Burstein, Sergi Elizalde, Total occurrence statistics on restricted sets,
*Pure Math. Appl. (Pu.M.A.)***24**(2013), no. 2, 103-123. - Ziyad AlSharawi, Alexander Burstein, Michael Deadman, Abdullahi Umar, A recursive sequence arising from a combinatorial problem in botanical epidemiology,
*Journal of Difference Equations and Applications***19**(2013), no. 6, 981-993. - Alexander Burstein, A short proof for the number of permutations containing pattern 321 exactly once,
*Electron. J. Combin.***18(2)**(2011), P21. - Alexander Burstein, Vít Jelínek, Eva Jelínková, Einar Steingrímsson, The Möbius function of separable and decomposable permutations,
*J. Combin. Th., Ser. A***118**(2011), 2346–2364. - Alexander Burstein, Matthieu Josuat-Vergés, Walter Stromquist, New Dumont permutations,
*Pure Math. Appl. (Pu.M.A.)***21**(2010), no. 2, 177-206. - Alexander Burstein, On joint distribution of adjacencies, descents and some Mahonian statistics,
*Proceedings of the 22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010)*, August 2010, San Francisco, CA, pp. 601-612. - Alexander Burstein, Peter Hästö, Packing sets of patterns,
*Europ. J. Combin.***31**(2010), no. 1, 241-253. - Alexander Burstein, Niklas Eriksen, Combinatorial properties of permutation tableaux, full version, in
*Permutation Patterns*(2010), S.A. Linton, N. Ruskuc, V. Vatter (eds.), LMS Lecture Note Series No. 376, Cambridge University Press, pp. 171-192. - Alexander Burstein, Isaiah Lankham, Restricted patience sorting and barred pattern avoidance, full version, in
*Permutation Patterns*(2010), S.A. Linton, N. Ruskuc, V. Vatter (eds.), LMS Lecture Note Series No. 376, Cambridge University Press, pp. 233-257. - Alexander Burstein, Sergey Kitaev, Partially ordered patterns and their combinatorial interpretations,
*Pure Math. Appl. (PU.M.A.)***19**(2008), no. 2-3, 27-38. - Alexander Burstein, Sergey Kitaev, Toufik Mansour, Counting independent sets in certain classes of (almost) regular graphs,
*Pure Math. Appl. (PU.M.A.)***19**(2008), no. 2-3, 17-26. - Alexander Burstein, Niklas Eriksen, Combinatorial properties of permutation tableaux, extended abstract, in
*Proceedings of the 20th Annual International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2008)*, June 2008, Viña del Mar, Chile. - Alexander Burstein, On some properties of permutation tableaux,
*Ann. Combin.***11**(2007), 355-368. - Alexander Burstein, Walter Stromquist, Dumont permutations of the third kind, extended abstract, in
*Proceedings of the 19th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2007)*, July 2007, Tianjin, China. - Alexander Burstein, Isaiah Lankham, Restricted patience sorting and barred pattern avoidance, extended abstract, in
*Proceedings of the 18th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2006)*, June 2006, San Diego, CA. - Alexander Burstein, Sergi Elizalde, Toufik Mansour, Restricted Dumont permutations, Dyck paths and noncrossing partitions,
*Discrete Math.***306**(2006), no. 22, 2851-2869. Extended abstract in*Proceedings of the 18th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2006)*, June 2006, San Diego, CA. - Alexander Burstein, Isaiah Lankham, A geometric form for the extended patience sorting algorithm,
*Adv. Appl. Math.***36**(2006), no. 2, 106-117. - Alexander Burstein, Isaiah Lankham, Combinatorics of patience sorting piles,
*Séminaire Lotharingien de Combinatoire***54A**(2006), Article B54Ab, 19 pp. Extended abstract in*Proceedings of the 17th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2005)*, June 2005, University of Messina, Italy. - Alexander Burstein, Restricted Dumont permutations,
*Ann. Combin.***9**(2005), no. 3, 269-280. - Alexander Burstein, Sergey Kitaev, On unavoidable sets of word patterns,
*SIAM J. Discrete Math.***19**(2005), no. 2, 371-381. - Alexander Burstein, Peter Hästö, Toufik Mansour, Packing patterns into words,
*Electron. J. Combin.***9(2)**(2002-2003), R20. - Alexander Burstein, Toufik Mansour, Words restricted by 3-letter generalized multipermutation patterns,
*Ann. Combin.***7**(2003), no. 1, 1-14. - Alexander Burstein, Toufik Mansour, Counting occurrences of some subword patterns,
*Discrete Math. and Theor. Comp. Sci.***6(1)**(2003), 1-12. - Alexander Burstein, Toufik Mansour, Words restricted by patterns with at most 2 distinct letters,
*Electron. J. Combin.***9(2)**(2002-2003), R3. - Alexander Burstein, Sylvie Corteel, Alexander Postnikov, Carla D. Savage, A lattice path approach to counting partitions with minimum rank
*t*,*Discrete Math.***249**(2002), no. 1-3, 31-39. - Alexander Burstein, Herbert S. Wilf, On cyclic strings without long constant blocks,
*Fibonacci Quart.***35**(1997), no. 3, 240-247.

### [-] Accepted

### [-] Submitted

### [-] In preparation

- Alexander Burstein, Chinenye Ofodile, Dumont permutations containing one occurrence of certain three and four letter patterns.

### [-] Other

- Alexander Burstein, Enumeration of words with forbidden patterns, Ph.D. thesis, University of Pennsylvania, 1998.

### [-] Conference Talks and Posters

- Unimodal inversion sequences and related pattern classes, talk,
- Minisymposium on Permutations in Patterns and Words, 26th British Combinatorial Conference (BCC'17), July 3-7, 2017, University of Strathclyde, Glasgow, Scotland. (all minisymposium talks are invited)
- 15th International Conference on Permutation Patterns (PP'16), June 26-30, 2017, Reykjavik University, Reykjavik, Iceland.

- Restricted Dumont permutations, Special Session on Enumerative Combinatorics, AMS Central Section Meeting, October 28-30, 2016, University of St. Thomas, Minneapolis, MN.
- Unimodal inversion sequences and pattern-avoiding classes, poster, 14th International Conference on Permutation Patterns (PP'16), June 27 - July 1, 2016, Howard University, Washington, DC.
- Unimodal inversion sequences and pattern-avoiding classes, talk, AMS Central Section Meeting, October 3-4, 2015, Chicago, IL. (with Walter Stromquist)
- Unbalanced Wilf-equivalence, talk, AMS Central Section Meeting, September 20-21, 2014, Eau Claire, WI.
- Unbalanced Wilf-equivalence, talk, PP'14, July 7-11, 2014, East Tennessee State University, Johnson City, TN.
- Unbalanced Wilf-equivalences, talk, Bijective and Algebraic Combinatorics: In honor of Bruce Sagan's 60th birthday, March 24-25, 2014, University of Florida, Gainesville, FL.
- Equidistribution of some Euler-Mahonian statistics, AMS-MAA Joint Mathematics Meetings, talk, January 9-12, 2013, San Diego, CA.
- A combinatorial proof of equidistribution of some Euler-Mahonian statistics, AMS Eastern Section Meeting, talk, September 22-23, 2012, Rochester, NY.
- A combinatorial proof of joint equidistribution of some pairs of permutation statistics, talk, PP'12, June 11-15, 2012, Glasgow, Scotland.
- Dumont permutations containing one occurrence of certain three and four letter patterns, talk, AMS Central Section Meeting, March 31 - April 1, 2012, Lawrence, KS.
- Dumont permutations containing one occurrence of certain three and four letter patterns, talk, PP'11, June 20-24, 2011, San Luis Obispo, CA. (with Chinenye Ofodile)
- On joint distribution of adjacencies, descents and some Mahonian statistics, poster, FPSAC'10, August 2-6, 2010, San Francisco, CA.
- On joint distribution of adjacencies, descents and some Mahonian statistics, talk, From A = B to Z = 60: Conference in Honor of Doron Zeilberger's 60th Birthday, May 27-28, 2010, Rutgers University, Piscataway, NJ.
- Distribution of some combinatorial statistics on old and new Dumont permutations, talk, Workshop on Combinatorics, Enumeration, and Invariant Theory (WCEIT), March 19-20, 2010, George Mason University, Fairfax, VA. (with Matthieu Josuat-Vergés and Walter Stromquist)
- On joint distribution of adjacencies, descents and some Mahonian statistics, talk, AMS Southeastern Section Meeting, October 30 - November 1, 2009, Boca Raton, FL.
- Distribution of pattern statistics on Dumont permutations, talk, PP'09, July 13-17, 2009, Florence, Italy. (Copy of slides at the conference site.)
- Packing sets of patterns, talk, AMS Western Section Meeting, October 4-5, 2008, Vancouver, Canada. (with Peter Hästö)
- Combinatorial properties of permutation tableaux, poster, FPSAC'08, June 2008, Viña del Mar, Chile. (with Niklas Eriksen)
- Total occurrence statistics on restricted sets, talk, PP'08, June 2008, University of Otago, Dunedin, NZ. (with Sergi Elizalde)
- Combinatorial properties of permutation tableaux, talk, AMS Southeastern Section Meeting, November 3-4, 2007, Murfreesboro, TN. (with Niklas Eriksen)
- New Dumont permutations, talk, AMS Central Section Meeting, October 5-6, 2007, Chicago, IL. (with Walter Stromquist)
- Dumont permutations of the third kind, poster, FPSAC'07, July 2007, Nankai University, Tianjin, China. (with Walter Stromquist)
- Some more properties of permutation tableaux, talk, PP'07, June 2007, St. Andrews University, Scotland, UK. (with Niklas Eriksen)
- Patience sorting and barred pattern avoidance, poster, FPSAC'06, June 2006, University of California, San Diego, CA.
- Restricted Dumont permutations, Dyck paths and noncrossing partitions, poster, FPSAC'06, June 2006, University of California, San Diego, CA.
- On some properties of permutation tableaux, talk, PP'06, June 2006, Reykjavik University, Iceland.
- Combinatorics of patience sorting piles, poster, FPSAC'05, June 2005, University of Messina, Italy. (with Isaiah Lankham)
- Non-intersecting patience sorting shadow diagrams and barred permutation patterns, talk, Workshop on Permutation Patterns, May 2005, University of Haifa, Israel. (with Isaiah Lankham)
- A geometric form for the extended patience sorting algorithm, talk, PP'05, March 2005, University of Florida. (with Isaiah Lankham)
- Partially ordered generalized patterns and their combinatorial interpretations, talk, PP'05, March 2005, University of Florida. (with Sergey Kitaev)
- Restricted Dumont permutations, talk, PP'04, June 2004, Vancouver Island University, Canada. (with Toufik Mansour)
- Packing patterns into words, talk, PP'03, February 2003, University of Otago, New Zealand. (with Toufik Mansour)
- Words restricted by patterns with at most 2 distinct letters, poster, FPSAC'02, July 2002, University of Melbourne, Australia. (with Toufik Mansour)
- A lattice path approach to counting partitions with minimum rank t, talk, The George Washington University Combinatorics Seminar (1999).
- Enumeration of words with forbidden patterns, talk, 1998 and 1999 AMS Joint Meetings, MIT Combinatorics Seminar (1998), Temple University Combinatorics Seminar (1997).