Contents: Conference appearances | Seminar talks | Workshops and discussions | Lecture series

Conference appearances

• "Base-p/Q structure of states in automata arising from Christol's theorem", Numeration, Utrecht University, Utrecht, Netherlands (2024–6–4).   abstract | paper
• "The size of the minimal automaton for an algebraic sequence", Session on Algorithmic Combinatorics, Applications of Computer Algebra, online (2021–7–24).   abstract | paper
• "The lexicographically least 5/4-power-free word on Z_{≥ 0}", AMS Special Session on Sequences, Words, and Automata, Joint Mathematics Meetings, Denver, CO (2020–1–15).   paper
• "Restricted Lucas congruences for Apéry numbers modulo p²", AMS Special Session on Experimental Mathematics in Number Theory and Combinatorics, AMS Fall Southeastern Sectional Meeting, Gainesville, FL (2019–11–2).   abstract | paper
• "IntegerSequences: a package for computing with k-regular sequences", Session on Symbolic Combinatorics, International Congress on Mathematical Software, University of Notre Dame, South Bend, IN (2018–7–27).   demo notebook | abstract | paper | package: IntegerSequences
• "Automatic sequences and p-adic asymptotics", Minisymposium on Open Problems in Combinatorics on Words, SIAM Conference on Discrete Mathematics, University of Colorado, Denver, CO (2018–6–7).   abstract
• "Enumeration of binomial coefficients by their p-adic valuations", Combinatorial and Additive Number Theory, CUNY Graduate Center, New York, NY (2018–5–25).   paper
• "Enumeration of binomial coefficients by their p-adic valuations", AMS Special Session on Applied and Computational Combinatorics, Joint Mathematics Meetings, San Diego, CA (2018–1–10).   abstract | paper
• "Binomial coefficients, valuations, and words", Developments in Language Theory, Université de Liège, Belgium (2017–8–11).   paper
• "Automatic proofs for establishing the structure of integer sequences avoiding a pattern", Session on Algorithmic Combinatorics, Applications of Computer Algebra, Jerusalem College of Technology, Jerusalem, Israel (2017–7–20).   abstract | paper
• "p-adic asymptotic properties of integer sequences", Special Session on Asymptotic Properties of Discrete Dynamical Systems, AMS Spring Eastern Sectional Meeting, Hunter College, CUNY, New York, NY (2017–5–6).   abstract | paper
• "Computing a finite automaton for an integer sequence modulo p^α", Bridges Between Automatic Sequences, Algebra, and Number Theory, CRM, Montréal, QC (2017–4–27).   paper
• "Congruences for diagonals of rational power series", Joint Mathematics Meetings, Seattle, WA (2016–1–7).   abstract | paper
• "Computing congruences for combinatorial sequences", Minisymposium on Symbolic Combinatorics, SIAM Conference on Applied Algebraic Geometry, NIMS, Daejeon, South Korea (2015–8–6).   paper
• "p-adic valuations of polynomials", Discrete Mathematics Day, Université de Liège, Belgium (2015–1–8).   paper
• "Avoiding fractional powers over the natural numbers", Special Session on Symbolic Dynamics and Combinatorics on Words, AMS Fall Eastern Sectional Meeting, Halifax, NS (2014–10–19).   abstract | paper
• "Can we find sequences without knowing any terms?: Bringing structured data to more of the OEIS", Challenges of Identifying Integer Sequences, Rutgers University, Piscataway, NJ (2014–10–10).
• "Avoiding fractional powers over the natural numbers", Journées Montoises d'Informatique Théorique, Nancy, France (2014–9–24).   paper
• "A new characterization of p-automatic sequences", Challenges in Combinatorics on Words, Fields Institute, Toronto, ON (2013–4–26).   paper
• "Distinguished equivalence classes of words in F₂", AMS Special Session on Algorithmic Problems of Group Theory and Their Complexity, Joint Mathematics Meetings, San Diego, CA (2013–1–9).   abstract | paper
• "Morphic words governing the boundaries of cellular automata", ISM Quebec Student Conference, UQAM, Montréal, QC (2012–6–1).   paper
• "Morphic words governing the boundaries of cellular automata", Combinatorics, Automata, and Number Theory, Marseille, France (2012–5–23).   abstract | paper
• "k-automatic sets of rational numbers", Language and Automata Theory and Applications, A Coruña, Spain (2012–3–5).   paper
• "Counting equivalence classes of words in F₂", Outstanding Challenges in Combinatorics on Words, Banff, AB (2012–2–20).   paper
• "Growth of one-dimensional cellular automata", Joint Mathematics Meetings, Boston, MA (2012–1–6).   abstract | paper
• "Pattern avoidance in binary trees", Permutation Patterns, California Polytechnic State University, San Luis Obispo, CA (2011–6–22).   paper
• "Toward a language theoretic proof of the four color theorem", AMS Special Session on New Topics in Graph Theory, Joint Mathematics Meetings, New Orleans, LA (2011–1–8).   abstract | paper
• "Ambiguity in a certain context-free grammar", Mini-Workshop: Combinatorics on Words, Oberwolfach, Germany (2010–8–27).   paper
• "Two binomial coefficient conjectures", From A=B to Z=60, Piscataway, NJ (2010–5–27).   abstract | video part 1 | video part 2 | paper
• "Wolfram|Alpha: Inside and Out" (Keynote), Indiana MAA Spring Meeting, Franklin College, Franklin, IN (2010–4–10).   abstract
• "The number of nonzero binomial coefficients modulo p^α", Joint Mathematics Meetings, San Francisco, CA (2010–1–14).   abstract | paper
• "Pattern avoidance in binary trees", Joint Mathematics Meetings, Washington, DC (2009–1–5).   abstract | paper
• "Regularity vs. complexity in the binary representation of 3ⁿ", Midwest NKS Conference, University of Indiana, Bloomington, IN (2008–10–31).   paper
• "A simple prime-generating recurrence", Joint Mathematics Meetings, San Diego, CA (2008–1–6).   abstract | paper
• "Numbers as programs: the power of digit sequences", NKS2007 Conference, University of Vermont, Burlington, VT (2007–7–14).   abstract
• "Classifying nestedness in cellular automata", NKS2006 Conference, Washington, DC (2006–6–17).   abstract
• "The right side of rule 30", Midwest NKS Conference, University of Indiana, Bloomington, IN (2005–10–28).   abstract | paper
• "The Fibonacci sequence and binomial coefficients mod n", NKS2004 Conference, Boston, MA (2004–4–25).   abstract
• "On equivalent words in the free group on two generators", Undergraduate poster session, Joint Mathematics Meetings, Baltimore, MD (2003–1–17).   paper

Seminar talks

• "Combinatorial structure behind Sinkhorn limits", Experimental Mathematics Seminar, Rutgers University, online (2024–12–5).   paper
• "The Sinkhorn limit of a matrix", Seminar, Hofstra University, Hempstead, NY (2024–2–21).   paper
• "Algebraic power series and their automatic complexity", New York Combinatorics Seminar, CUNY Graduate Center, New York, NY (2024–2–16).   video | paper
• "Algebraic power series and their automatic complexity", One World Seminar on Combinatorics on Words, online (2024–2–6).   video | paper
• "Powers of a sequence satisfying a recurrence", Seminar, Hofstra University, Hempstead, NY (2023–9–13).
• "Pattern avoidance in words", Seminar, Hofstra University, online (2022–9–16).   paper
• "Wholesale congruences for sequences arising in combinatorics", Pure Mathematics Colloquium, The Open University, Milton Keynes, UK (2022–9–14).   abstract | paper
• "Lucas congruences modulo p²", Experimental Mathematics Seminar, Rutgers University, online (2021–11–4).   video | paper
• "Congruences for some sequences arising in combinatorics", Mathematics and Statistics Colloquium, Queen's University, online (2021–9–24).   paper
• "Square-free words", Seminar, Hofstra University, Hempstead, NY (2021–9–8).   paper
• "Extremal words avoiding a fractional power", Discrete Math Seminar, University of Massachusetts Amherst, online (2020–11–13).   video | paper
• "Avoiding fractional powers on an infinite alphabet", One World Seminar on Combinatorics on Words, online (2020–11–9).   video | paper
• "Cheerful facts about Pascal's triangle", Many Cheerful Facts - Summer Seminar, Hofstra University, online (2020–6–8).   paper
• "Extremal sequences avoiding a fractional power", New York Combinatorics Seminar, CUNY Graduate Center, New York, NY (2018–12–7).   paper
• "Enumeration of binomial coefficients by their p-adic valuations", Séminaire de Combinatoire et d'Informatique Mathématique du LaCIM, UQAM, Montréal, QC (2018–4–20).   paper
• "Formulas for primes", Seminar, Hofstra University, Hempstead, NY (2018–2–14).
• "Binomial coefficients and k-regular sequences", New York Combinatorics Seminar, CUNY Graduate Center, New York, NY (2017–12–22).   paper
• "Avoiding repetitions in sequences of integers", Colloquium, Valparaiso University, Valparaiso, IN (2017–1–20).   paper
• "Unanswered questions about the Fibonacci numbers", Seminar, Hofstra University, Hempstead, NY (2016–10–26).   paper
• "Computer verification of integer sequences avoiding a pattern", Experimental Mathematics Seminar, Rutgers University, Piscataway, NJ (2016–9–29).   video part 1 | video part 2 | paper
• "Arithmetic properties of some combinatorial sequences", Combinatorics Seminar, University of California, Los Angeles, CA (2016–2–11).   paper
• "Extremal words avoiding partial repetitions", Colloquium, Tulane University, New Orleans, LA (2016–1–14).   paper
• "Automatic sequences and transcendence", Discrete Mathematics Seminar, Université de Liège, Belgium (2015–3–12).
• "Formulas for primes", Comprehensible Seminar, Université de Liège, Belgium (2015–2–20).
• "Counting factors of automatic sequences up to abelian equivalence", Séminaire de Combinatoire du LaCIM, UQAM, Montréal, QC (2014–10–22).   paper
• "Congruences for diagonals of rational power series", Number Theory Seminar, University of Illinois, Urbana–Champaign, IL (2014–10–16).   abstract | paper
• "Congruences for combinatorial sequences", Discrete Mathematics Seminar, Université de Liège, Belgium (2014–2–12).   paper
• "Congruences for combinatorial sequences", Séminaire de Combinatoire du LaCIM, UQAM, Montréal, QC (2013–11–1).   paper
• "Congruences for algebraic sequences", Colloquium, Rutgers University, Piscataway, NJ (2013–9–27).   video part 1 | video part 2 | paper
• "The structure of equivalence classes in F₂", New York Applied Algebra Colloquium, CUNY Graduate Center, New York, NY (2013–4–12).   paper
• "A new characterization of p-automatic sequences", Séminaire de Combinatoire du LaCIM, UQAM, Montréal, QC (2013–4–5).   paper
• "Formulas for primes", Trent University, Peterborough, ON (2012–12–5).
• "Column sequences of cellular automata", Mathematical Physics & Probability Seminar, University of California, Davis, CA (2012–10–24).   paper
• "Constant-recursive sequences and a generalization", REU Seminar, Valparaiso University, Valparaiso, IN (2012–6–22).
• "Automated symbolic number theory", Experimental Mathematics Seminar, Rutgers University, Piscataway, NJ (2012–4–5).   video part 1 | video part 2
• "Counting equivalence classes of words in F₂", Séminaire de Combinatoire du LaCIM, UQAM, Montréal, QC (2012–3–16).   paper
• "The hierarchy of integer sequences", Séminaire CIRGET–LaCIM, UQAM, Montréal, QC (2012–3–1).
• "Words generated by cellular automata", Séminaire de Combinatoire du LaCIM, UQAM, Montréal, QC (2011–11–25).   paper
• "A program for symbolic number theory", Languages and Automata Theory Seminar, University of Waterloo, Waterloo, ON (2011–11–14).
• "p-adic valuations of integer sequences", Number Theory Seminar, University of Waterloo, Waterloo, ON (2011–11–10).
• "Sequences arising from cellular automata", Languages and Automata Theory Seminar, University of Waterloo, Waterloo, ON (2011–9–26).   paper
• "Regular sequences", RISC, Hagenberg, Austria (2011–9–8).   abstract
• "Regular sequences", Algorithms Project Seminar, INRIA Rocquencourt, Le Chesnay, France (2011–9–5).   abstract
• "Generating primes", REU Seminar, Valparaiso University, Valparaiso, IN (2011–7–8).
• "The crazy Thue–Morse sequence", REU Seminar, Valparaiso University, Valparaiso, IN (2010–6–17).
• "The crazy Thue–Morse sequence", Graduate Student Colloquium, Tulane University, New Orleans, LA (2009–9–22).
• "Formulas for primes", Graduate Pizza Seminar, Rutgers University, Piscataway, NJ (2009–4–17).
• "Experimental methods applied to the computation of integer sequences" (thesis defense), Experimental Mathematics Seminar, Rutgers University, Piscataway, NJ (2009–4–2).
• "An introduction to generating functions, part 1", Graduate Combinatorics Seminar, Rutgers University, Piscataway, NJ (2009–1–28).
• "Pattern avoidance in binary trees", Graduate Combinatorics Seminar, Rutgers University, Piscataway, NJ (2008–10–1).   paper
• "The crazy Thue–Morse sequence", Graduate Pizza Seminar, Rutgers University, Piscataway, NJ (2008–2–29).
• "An introduction to cellular automata", Graduate Pizza Seminar, Rutgers University, Piscataway, NJ (2006–10–18).
• "Calculus for a discrete world", Seminar, William Paterson University, Wayne, NJ (2006–4–5).
• "Nested structures in cellular automata", Experimental Mathematics Seminar, Rutgers University, Piscataway, NJ (2006–1–19).
• "Math 135 for a discrete world", Graduate Pizza Seminar, Rutgers University, Piscataway, NJ (2005–10–19).
• "Pascal's triangle mod n: fractal dimensions, fractal sequences, and other exotic cuisine", Graduate Pizza Seminar, Rutgers University, Piscataway, NJ (2005–4–22).
• "All about primitive Pythagorean triples", Graduate Pizza Seminar, Rutgers University, Piscataway, NJ (2004–9–10).
• "On equivalent words in the free group of rank 2", Graduate Pizza Seminar, Rutgers University, Piscataway, NJ (2003–11–7).   paper

Workshops and discussions

• repetitions in words, Math Night, Henderson, NV (2013–8–25).
• paperfolding sequences, Round Table Discussion, Rutgers University, Piscataway, NJ (2009–4–22).
• Pythagorean triples, Round Table Discussion, Rutgers University, Piscataway, NJ (2009–3–4).
• bits of 3ⁿ, Round Table Discussion, Rutgers University, Piscataway, NJ (2009–2–11).   paper
• "Folding paper — dragon curves and fractals", Math Day, Princeton Friends School, Princeton, NJ (2008–11–15).
• cellular automata, Math Day, Princeton Friends School, Princeton, NJ (2008–11–15).
• Euler line, Round Table Discussion, Rutgers University, Piscataway, NJ (2008–10–28).
• Pythagorean triples, Experimental math undergraduate seminar (seventh (and partly the eighth) meeting), Rutgers University, Piscataway, NJ (2008–10–20).
• self-similar sequences, Round Table Discussion, Rutgers University, Piscataway, NJ (2008–9–30).
• cellular automata, guest "Problem of the Week" activity, Princeton Friends School, Princeton, NJ (2005–4–29).

• Wolfram Summer School, Bentley University, Waltham, MA (summer 2016).
• Wolfram Summer School, Bentley University, Waltham, MA (summer 2015).
• MSRI-UP, Mathematical Sciences Research Institute, Berkeley, CA (summer 2014).
• Wolfram Science Summer School, Curry College, Milton, MA (summer 2012).
• NKS Summer School, University of Vermont, Burlington, VT (summer 2010).
• "Regular sequences", Tulane University, New Orleans, LA (April 2010).
• NKS Summer School, Istituto di Scienza e Tecnologie, Pisa (summer 2009).
• NKS Summer School, University of Vermont, Burlington, VT (summer 2008).
• NKS Summer School, University of Vermont, Burlington, VT (summer 2007).