(for pedagogical talks click here)
♦ Talks at National/International Conferences and Seminars
Rational journeys: the Calkin-Wilf tree and beyond, Algebra Seminar, Federal University of Uberlândia, Brazil, online, September 13, 2024.
Analogies between $\mathbb Z$ and $\mathbb F_q[x]$, IV Workshop on Finite Fields and Applications, Belo Horizonte, Brazil, August 5-9, 2024.
Involutions over finite fields, SIAM Conference on Applied Algebraic Geometry, Eindhoven, The Netherlands, July 10-14, 2023.
Rédei permutations with the same cylcle structure, The 15th International Conference on Finite Fields and Their Applications, Fq15, Paris, France, June 19-23, 2023.
On permutation binomials of the form $x^r(x^{q-1}+a)$ over $\mathbb F_{q^e}$, Canadian Mathematical Society (CMS) Summer Meeting, Ottawa, Canada, June 2-5, 2023.
Involutions over finite fields, Annual Workshop on Combinatorial and Additive Number Theory (CANT), May 24-27, 2023.
Rédei permutations with the same cycle structure, Annual Workshop on Combinatorial and Additive Number Theory (CANT), May 24-27, 2022.
Rédei permutations with the same cycle structure, Carleton Finite Fields eSeminar, Ottawa, Canada, October 20, 2021 (co-presenter: Juliane Capaverde).
A characterization of Rédei permutations with $1$- and $p$-cycles, Conference on Rings and Polynomials, Graz, Austria, July 19-24, 2021.
A conjugate directions-type procedure for quadratic multiobjective optimization, Western Canada Linear Algebra Meeting, online, May 29-30, 2021.
On the membership problem of certain subgroups of $SL_2(\mathbb{Z})$, XXVI Brazilian Algebra Meeting, Curitiba, PR, Brazil, July 26-31, 2020. (cancelled due to the Covid-19 pandemic)
TBA, VI Congreso Latinoamericano de Matemática (CLAM), Montevideo, Uruguay, July 20-24, 2020. (cancelled due to the Covid-19 pandemic)
Rédei permutations with cycles of length $1$ and $p$, Eighteenth Annual Workshop on Combinatorial and Additive Number Theory (CANT), online, June 1-5, 2020.
Rédei permutations with cycles of length $1$ and $k$, Southeastern International Conference on Combinatorics, Graph Theory & Computing, Boca Raton, FL, March 9-13, 2020. (cancelled due to the Covid-19 pandemic)
A conjugate directions method for multicriteria, International Seminar on Optimization and Related Areas, Lima, Peru, October 7-11, 2019.
Isomorphism of graphs associated with Rédei functions, XXIII Coloquio Latinoamericano de Algebra, Mexico City, Mexico, August 5-9, 2019.
Pure gaps on curves with many rational places, SIAM Conference on Applied Algebraic Geometry, Bern, Switzerland, July 9-13, 2019.
Functional graphs of Rédei functions, 7th Biennial Canadian Discrete and Algorithmic Mathematics Conference (CanaDAM), Simon Fraser University, Vancouver, Canada, May 28-31, 2019.
Functional graphs of Rédei functions, Combinatorial and Additive Number Theory (CANT) Conference, New York, NY, May 21-24, 2019.
Pure gaps on curves with many rational places, Carleton Finite Fields Workshop, Ottawa, Canada, May 21-24, 2019.
Permutation polynomials over finite fields, 34th Seminario Interuniversitario de Investigacion en Ciencias Matematicas, Humacao, Puerto Rico, March 1-2, 2019.
Pure gaps on curves with many rational places, Joint Mathematics Meetings (JMM), Baltimore, MD, US, January 16-19, 2019.
Maximal entries of elements in certain matrix monoids, XXV Brazilian Algebra Meeting, UNICAMP, Campinas, SP, Brazil, December 3-7, 2018.
Permutation polynomials over from rational functions, Combinatorial and Additive Number Theory (CANT) Conference, New York, NY, USA, May 22-25, 2018.
Permutation polynomials over from rational functions, American Mathematical Society (AMS) Spring Eastern Sectional Meeting, Boston, MA, USA, April 21-22, 2018.
The Calkin-Wilf tree and beyond, Seminar, Graduate School of Informatics, Kyoto University, Kyoto, Japan, January 10, 2018.
Goppa Codes over Kummer extensions, Mathematical Congress of the Americas, Montreal, QC, Canada, July 24-28, 2017.
Collision-free bounds for the BSV hash, The 13th International Conference on Finite Fields and Their Applications, Fq13, Gaeta, Italy, June 4-10, 2017.
Extended Calkin-Wilf trees, Graph Theory Day 73, New York, NY, USA, April 22, 2017 (co-presenter: Satyanand Singh).
Being rational with the rationals, Mathematics Colloquium Series, Gettysburg College, Gettysburg, PA, USA, November 10, 2016.
Enumerating the rational numbers on a tree (in Portuguese), Seminar, Universidade Federal do Rio Grande do Sul, Porto Alegre, RS, Brazil, October 13, 2016.
Calkin-Wilf forest, Combinatorics and Finite Fields in Cryptography and Codes, Florianópolis, SC, Brazil, July 15-20, 2016.
One- and two-point codes over Kummer extensions, Combinatorics 2016, Maratea, Italy, May 29-June 4, 2016.
Weierstrass semigroups on Kummer extensions, Combinatorial and Additive Number Theory (CANT) Conference, New York, NY, USA, May 24 -27, 2016.
The Calkin-Wilf tree, The 47th Southeastern International Conference on Combinatorics, Graph Theory, and Computing, Florida Atlantic University, Boca Raton, FL, USA, March 7-11, 2016.
Character theory of monoids over an arbitrary field, 2015 Joint International Meeting with the American Mathematical Society (AMS), the European Mathematical Society (EMS), and the Sociedade Portuguesa de Matemática (SPM), Porto, Portugal, June 10 -13, 2015.
The $(u,v)$-Calkin-Wilf tree, Combinatorial and Additive Number Theory (CANT) Conference, New York, NY, USA, May 19-22, 2015.
The Calkin-Wilf tree for linear fractional transformations, 2015 Joint Mathematics Meetings, San Antonio, TX, USA, January 10-13, 2015.
Permutation binomials over finite fields, XXII Brazilian Algebra Meeting, Salvador, BA, Brazil, July 15-20, 2012.
Permutation polynomials over finite fields, Colloquium, The Catholic University of America, Washington, DC, USA, 2009.
Permutation polynomials over finite fields, Colloquium, Michigan Technological University, Houghton, MI, USA, 2009.
Polynomials over finite fields: relationships with integers, and permutation polynomials, Ottawa-Carleton Institute of Mathematics and Statistics Doctoral Prize Lecture, Ottawa, ON, Canada, 2007.
Permutation binomials over $\mathbb{F}_{2^kp+1}$ where $p$ and $2^kp+1$ are primes, Workshop on Polynomials over Finite Fields and Applications, BIRS, Banff, AB, Canada, 2006.
Analogies between the ring of integers and the ring of polynomials over a finite field, Connecting Women in Mathematics Across Canada Workshop,
Fields Institute, Toronto, ON, Canada, 2006.
The number of permutation binomials over $\mathbb{F}_{2^kp+1}$ where $p$ and $2^kp+1$ are primes, Ontario Combinatorics Workshop, Fields Institute, Toronto, ON, Canada, 2006.
Sequences of consecutive smooth polynomials over a finite field, Anatomy of Integers Workshop, CRM, Montreal, QC, Canada, 2006.
A characterization of permutation polynomials based on their coefficients, Canadian Mathematical Society Summer Meeting, University of Alberta, Edmonton, AB, Canada, 2003.
Some problems in finite fields and their applications, Connecting Women in Mathematics Across Canada Workshop, University of Alberta, Edmonton, AB, Canada, 2003.
A characterization of permutation polynomials based on their coefficients, 12th Ontario Combinatorics Workshop, University of Ottawa, Ottawa, ON, Canada, 2003.
Complex, hyperbolic and parabolic numbers: basis for a generalized trigonometry (in Portuguese), XIX Congresso Nacional de Matemática Aplicada e Computacional, Goiânia, GO, Brazil, 1996.
♦ Talks at Local Meetings
Rédei permutations with cycles of the same length, CUNY Celebrates Women in Computing, online, May 7, 2021.
A conjugate directions-type procedure for quadratic multiobjective optimization, The Mathematical Association of America (MAA) Metropolitan New York Section 2021 Annual Meeting, online, May 1, 2021.
Subgroups of $SL_2(\mathbb{Z})$ characterized by certain continued fraction representations, New York Group Theory Seminar, Graduate Center, CUNY, New York, USA, October 4, 2019 (co-presenter: Johann Thiel).
The $(u,v)$-Calkin-Wilf tree, New York Number Theory Seminar, CUNY Graduate Center, New York, NY, USA, September 18, 2014.
Solving systems of equations with semilinear constraints modulo a variety of finite abelian groups, New York Applied Algebra Colloquium, CUNY Graduate Center, New York, NY, USA, November 16, 2012.
♦ Posters presented
An application of a generalization of the Calkin-Wilf tree to the BSV hash functions, Discrete Math Day, Queens College, NY, October 21, 2017.
Acyclically oriented subgraphs, DIMACS Conference on Challenges Identifying Integer Sequences: Celebrating 50 Years of the OEIS, Rutgers University, Piscataway, NJ, October 9-10, 2014.
Sequences of consecutive smooth polynomials over a finite field, Connecting Women in Mathematics Across Canada Workshop, BIRS, Banff, AB, Canada, 2005.
Algebraic aspects of the theory of complex hyperbolic numbers (in Portuguese), III ERMAC, Curitiba, PR, Brazil, 1996.
Algebraic aspects of the theory of complex hyperbolic numbers (in Portuguese), IV EVINCI, Universidade Federal do Paraná, Curitiba, PR, Brazil, 1996.
♦ Conferences Attended
Joint Mathematics Meetings, Boston, MA, January 4-7, 2023.
The 14th International Conference on Finite Fields and Their Applications, Fq14, Simon Fraser University, Vancouver, Canada, June 3-7, 2019.
American Mathematical Society (AMS) Spring Eastern Sectional Meeting, Hunter College, New York, NY, May 6-7, 2017.
XXIV Brazilian Algebra Meeting, Diamantina, MG, Brazil, July 31-August 5, 2016.
The 12th International Conference on Finite Fields and Their Applications, Fq12, Skidmore College, Saratoga Springs, NY, July 13-17, 2015.
The Fields-TIMC Workshop on Functions and Geometries over Finite Fields, Carleton University, Ottawa, ON, Canada, July 8-11, 2015.
Combinatorial and Additive Number Theory (CANT) Conference, New York, NY, May 27-30, 2014.
Workshop on Polynomials over Finite Fields: Functional and Algebraic Properties, Centre de Recerca Matemàtica, Barcelona, Spain, May 19-24, 2014.
The Mathematical Congress of the Americas, American Mathematical Society (AMS), Guanajuato, Mexico, August 5-9, 2013.
International Workshop on Finite Fields Constructions of Combinatorial Arrays, Florianópolis, SC, Brazil, April 21-27, 2013.
German-Israeli Minerva School on Arithmetic Geometry and Public Key Cryptography, Tel Aviv University, Tel Aviv, Israel, 2008.
Summer School in Analytic Number Theory and Diophantine Approximation, University of Ottawa, Ottawa, ON, Canada, 2008.
8th Algorithmic Number Theory Symposium (ANTS), Banff Centre, Banff, AB, Canada, 2008.
Summer School in Iwasawa Theory, McMaster University, Hamilton, ON, Canada, 2007.Summer School on Algebra and Combinatorics, Universidade de Lisboa, Lisboa, Portugal, 2007.
The 7th International Conference on Finite Fields and Their Applications, Fq7, Toulouse, France, May 5-9, 2003.
The 15th International Conference on Applied Algebra, Algebraic Algorithms and Error-correcting Codes (AAECC), Toulouse, France, May 12-16, 2003.
XVII Brazilian Algebra Meeting, Cabo Frio, RJ, Brazil, August 5-9, 2002.
The 6th International Conference on Finite Fields and Their Applications, Fq6, Oaxaca, Mexico, May 22-26, 2001.
Brazilian Symposium on Graphs, Algorithms and Combinatorics (GRACO), Fortaleza, CE, Brazil, March 17-19, 2001.
XVI Brazilian Algebra Meeting 2000, Universidade de Brasília, Brasília, DF, Brazil, July 23-29, 2000.
♦ Posters and Talks at City Tech
A conjugate directions-type procedure for quadratic multiobjective optimization, City Tech 19th Annual Poster Session of Faculty and Student Research and Faculty Publications Exhibit, online, November 18, 2021.
Solving the membership problem for certain subgroups of $SL_2(\mathbb{Z})$, City Tech 19th Annual Poster Session of Faculty and Student Research and Faculty Publications Exhibit, online, November 18, 2021.
Rédei permutations with cycles of the same length, City Tech 18th Annual Poster Session of Faculty and Student Research and Faculty Publications Exhibit, online, November 19, 2020.
Subgroups of of $SL_2(\mathbb{Z})$ characterized by certain continued fraction representations, City Tech 17th Annual Poster Session of Faculty and Student Research and Faculty Publications Exhibit, November 21, 2019.
Mean row values in Calkin-Wilf trees, City Tech 16th Annual Poster Session of Faculty and Student Research and Faculty Publications Exhibit, November 15, 2018.
An application of a generalization of the Calkin-Wilf tree to the BSV hash functions, City Tech 15th Annual Poster Session of Faculty and Student Research and Faculty Publications Exhibit, November 20, 2017.
Orphans in forests of linear fractional transformations, City Tech 14th Annual Poster Session of Faculty and Student Research and Faculty Publications Exhibit, November 17, 2016.
The (u,v)-Calkin-Wilf forest, City Tech 13th Annual Poster Session of Faculty and Student Research and Faculty Publications Exhibit, November 19, 2015.
Character theory of monoids over arbitrary fields, City Tech 12th Annual Poster Session of Faculty and Student Research and Faculty Publications Exhibit, November 20, 2014.
Enumerating acyclically oriented subgraphs, City Tech 11th Annual Poster Session of Faculty and Student Research and Faculty Publications Exhibit, November 21, 2013.
Rational functions with linear relations, New York Women in Mathematics and Computing, May 10, 2013.
Rational functions with linear relations, 7th Annual City Tech Research Conference, April 5, 2013.
Sequences of consecutive smooth polynomials over a finite field, City Tech 10th Annual Poster Session of Faculty and Student Research and Faculty Publications Exhibit, November 15, 2012.
Permutation polynomials over finite fields, City Tech Math Seminar Series, May 17, 2012.
Analogies between the ring of integers and the ring of polynomials over a finite field, 6th Annual City Tech Research Conference, March 30, 2012.
Analogies between $\mathbb{Z}$ and $\mathbb{F}_q[x]$, New York Women in Mathematics and Computing Workshop, Forward to Professorship, March 3, 2012.