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Publications
Book
 A Mathematician's Practical Guide to Mentoring Undergraduate Research by Michael Dorff, Allison Henrich, and Lara Pudwell, published September 2019 by MAA Press: an imprint of the American Mathematical Society and the Council on Undergraduate Research.
https://bookstore.ams.org/clrm63/
Invited Essays
 Lara Pudwell, Book review: An Introduction to Undergraduate Research in Computational and Mathematical Biology Edited by Hannah Callender Highlander, Alex Capaldi, and Carrie Diaz Eaton; and A ProjectBased Guide to Undergraduate Research in Mathematics. Edited by Pamela Harris, Erik Insko, and Aaron Wootton,
This is an Accepted
Manuscript of an article published by Taylor & Francis
in The American Mathematical Monthly 127.10, 953957. https://doi.org/10.1080/00029890.2020.1822719.
Ph.D. Thesis
 Lara Pudwell, Enumeration schemes for patternavoiding words and permutations, Rutgers University, May 2008.
OEIS Sequences
Recent Works
 Lara Pudwell and Manda Riehl, Occurrences of reciprocal sign epistasis in single and multipeaked theoretical fitness landscapes, in preparation.
 Julia Krull, Lara Pudwell, Eric Redmon, and Andrew ReimerBerg, Packing patterns in symmetric words, submitted.
Refereed Publications
(* denotes undergraduate student)
2020
 Lara Pudwell, From permutation patterns to the periodic table, Notices of the American Mathematical Society. 67.7 (2020), 9941001. https://www.ams.org/journals/notices/202007/rnotip994.pdf
 This paper includes the following periodic table illustration: with tikz code given here:
2019
 Lara Pudwell and Rebecca Smith, Twostacksorting with pop stacks, Australasian Journal of Combinatorics 74.1 (2019), 179195. https://ajc.maths.uq.edu.au/pdf/74/ajc_v74_p179.pdf
 Michael Bukata*, Ryan Kulwicki*, Nicholas Lewandowski*, Lara Pudwell, Jacob Roth*, and Teresa Wheeland*, Distributions of Statistics over PatternAvoiding Permutations, Journal of Integer Sequences 22 (2019) 19.2.6. https://cs.uwaterloo.ca/journals/JIS/VOL22/Pudwell/pudwell6.html
2018
 Monica Anderson*, Marika Diepenbroek*, Lara Pudwell, and Alex Stoll*, Pattern avoidance in reverse double lists, Discrete Mathematics and Theoretical Computer Science 19.2 (2018), #13. https://dmtcs.episciences.org/4919
 Lara Pudwell and Eric Rowland, Avoiding fractional powers over the natural numbers, Electronic Journal of Combinatorics 25.2 (2018), P2.27. http://www.combinatorics.org/ojs/index.php/eljc/article/view/v25i2p27.
2017
 Michael Dorff, Allison Henrich, and Lara Pudwell, Successfully Mentoring Undergraduates in Research: A How To Guide for Mathematicians, PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies 27.3 (2017), 320336. http://dx.doi.org/10.1080/10511970.2016.1183248
 Charles Cratty*, Samuel Erickson*, Frehiwet Negassi*, and Lara Pudwell, Pattern avoidance in double lists, Involve, a Journal of Mathematics 10.3 (2017), 379398. https://doi.org/10.2140/involve.2017.10.379
 Lara Pudwell, Teaching the inquiry process through experimental mathematics, PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies 27.2 (2017), 281292. http://dx.doi.org/10.1080/10511970.2016.1143899
2016
 David Bevan, Derek Levin*, Peter Nugent*, Jay Pantone, Lara Pudwell, Manda Riehl, and ML Tlachac*, Pattern avoidance in forests of binary shrubs,
Discrete Mathematics and Theoretical Computer Science 18.2 (2016), #8. https://dmtcs.episciences.org/1541
 Derek Levin*, Lara Pudwell, Manda Riehl, and Andrew Sandberg*, Pattern avoidance in kary heaps, Australasian Journal of Combinatorics 64.1 (2016), 120139. http://ajc.maths.uq.edu.au/pdf/64/ajc_v64_p120.pdf
 Adam Goyt and Lara Pudwell, On packing densities of set partitions, Australasian Journal of Combinatorics 64.1 (2016), 6476. http://ajc.maths.uq.edu.au/pdf/64/ajc_v64_p064.pdf
 Lara Pudwell, Ascent sequences and the binomial convolution of Catalan numbers, Australasian Journal of Combinatorics 64.1 (2016), 2143. http://ajc.maths.uq.edu.au/pdf/64/ajc_v64_p021.pdf
2015
 Lara Pudwell and Eric Rowland, What's in your wallet?, The Mathematical Intelligencer 37.4 (2015), 5460.
http://doi.org/10.1007/s0028301595709
 (See Evelyn Lamb's review of the paper on her Scientific American Roots of Unity blog: Mathematicians Predict What's in Your Wallet)
 The files below contain data on the Markov chain for a "big spender's" wallet state in four currency scenarios considered in "What's in your wallet?". The set of wallet states and the transition matrix are available. The transition matrix is available in two formats: as a list of the nonzero entries and their positions (which can be passed to SparseArray) and in its full form as a list of lists. This data was computed using the Mathematica package PocketChange.
 Dennis E. Davenport, Lara K. Pudwell, Louis W. Shapiro, and Leon C. Woodson, The boundary of ordered trees, Journal of Integer Sequences 18 (2015) 15.5.8. https://cs.uwaterloo.ca/journals/JIS/VOL18/Davenport/dav3.html
 Andrew Baxter and Lara Pudwell, Ascent sequences avoiding pairs of patterns, Electronic Journal of Combinatorics 22.1 (2015), P1.58. http://www.combinatorics.org/ojs/index.php/eljc/article/view/v22i1p58.
2014
 Dan Daly and Lara Pudwell, Pattern avoidance in the rook monoid, Journal of Combinatorics 5.4 (2014), 471497. http://dx.doi.org/10.4310/JOC.2014.v5.n4.a5
 Anant Godbole, Adam Goyt, Jennifer Herdan*, and Lara Pudwell, Pattern avoidance in ordered set partitions, Annals of Combinatorics 18.3 (2014), 429445.
http://dx.doi.org/10.1007/s000260140232y
 Michael Karls, David McCune, Lara Pudwell, and Azadeh Rafizadeh, The Role of Graduate Students in Research Experience for Undergraduates Programs, Involve, a Journal of Mathematics 7.3 (2014), 369372. http://dx.doi.org/10.2140/involve.2014.7.369
 Lara Pudwell, Connor Scholten*, Tyler Schrock*, and Alexa Serrato*, Noncontiguous pattern containment in binary trees, ISRN Combinatorics vol. 2014, Article ID 316535, 8 pages, 2014. http://dx.doi.org/10.1155/2014/316535
 Lara Pudwell and Rachel Rockey*, de Bruijn arrays for Lfillings, Mathematics Magazine 87.1 (2014), 5760. http://dx.doi.org/10.4169/math.mag.87.1.57
2013
 Adam Goyt, and Lara Pudwell. A Stirling Permutation Problem. (Solution II) American Mathematical Monthly 120.4 (2013), 369371. http://dx.doi.org/10.4169/amer.math.monthly.120.04.365
2012
 Michael Dairyko*, Lara Pudwell, Samantha Tyner*, and Casey Wynn*, Noncontiguous pattern avoidance in binary trees, Electronic Journal of Combinatorics 19.3 (2012), P22. http://www.combinatorics.org/ojs/index.php/eljc/article/view/v19i3p22
 Adam Goyt and Lara Pudwell, Avoiding colored partitions of two elements in the pattern sense, Journal of Integer Sequences 15 (2012) 12.6.2. https://cs.uwaterloo.ca/journals/JIS/VOL15/Goyt/goyt4.html
 Andrew Baxter and Lara Pudwell, Enumeration schemes for vincular patterns, Discrete Mathematics 312 (2012), 16991712. http://dx.doi.org/10.1016/j.disc.2012.01.021
 Nathan Gabriel*, Katie Peske*, Lara Pudwell, and Sam Tay*, Pattern avoidance in ternary trees, Journal of Integer Sequences 15 (2012) 12.1.5. https://cs.uwaterloo.ca/journals/JIS/VOL15/Pudwell/pudwell.html
2011
 Adam Goyt and Lara Pudwell, Avoiding colored partitions of lengths two and three, Pure Mathematics and Applications 22.2 (2011), 107128. http://www.mat.unisi.it/newsito/puma/public_html/22_2/goyt_pudwell.pdf
2010
 Lara Pudwell, Stacking blocks and counting permutations, Mathematics Magazine 83 (2010), 297302. http://www.jstor.org/stable/10.4169/002557010x521868
 supplementary material for Stacking blocks and counting permutations,
 Lara Pudwell, Enumeration schemes for words avoiding permutations. In
Permutation Patterns (2010), S. Linton, N. Ruskuc, and V. Vatter,
Eds., vol. 376 of London Mathematical Society Lecture Note Series,
Cambridge University Press, pp. 193211. Cambridge: Cambridge University Press. http://www.cambridge.org/us/academic/subjects/mathematics/discretemathematicsinformationtheoryandcoding/permutationpatterns
 Lara Pudwell, Enumeration schemes for permutations avoiding barred patterns, Electronic Journal of Combinatorics 17 (2010), R29. http://www.combinatorics.org/ojs/index.php/eljc/article/view/v17i1r29
 Lara Pudwell and Eric Rowland, Counting interesting elections, American Mathematical Monthly 117.2 (2010), 167174. http://doi.org/10.4169/000298910X476077
2008
 Lara Pudwell, Enumeration schemes for words avoiding patterns with repeated letters, INTEGERS: The Electronic Journal of Combinatorial Number Theory 8 (2008), A40. http://www.emis.de/journals/INTEGERS/papers/i40/i40.pdf
2007
 Lara Pudwell, Digit reversal without apology, Mathematics Magazine 80 (2007), 129132. http://www.jstor.org/stable/27643011
2005
 Betsy Crull*, Tammy Cundiff*, Paul Feltman*, Glenn Hurlbert, Lara Pudwell*, Zsuzsanna Szaniszlo, Zsolt Tuza, The cover pebbling number of graphs, Discrete Mathematics 296 (2005), 1523. http://doi.org/10.1016/j.disc.2005.03.009
2004
 Steven Klee*, Lara Pudwell*, and Rick Gillman. On the edge set of graphs of lattice paths, International Journal of Mathematics and Mathematical Sciences 61 (2004), 32913299. http://dx.doi.org/10.1155/S0161171204306058
 Paul Baginski*, Scott T. Chapman, Kathryn McDonald*, and Lara Pudwell*. On cross numbers of minimal zero sequences in certain cyclic groups, Ars Combinatoria 70 (2004), 4760. http://www.combinatorialmath.ca/arscombinatoria/vol70.html
2003
 Marjorie Brewer*, Adam Hughes*, Lara Pudwell*. Graphs of essentially equivalent lattice paths, Geombinatorics 13 (2003), 59. http://geombina.uccs.edu/?page_id=603
