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\pagestyle{fancy}\lhead{\Large{\bf Felix Gotti}} \rhead{\Large{List of Invited Conference/Seminar Talks}}
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%{\large\textbf{Research Interest:}} Algebra and Combinatorics. In algebra, I am mostly interested in the study of the phenomenon of non-uniqueness of factorizations into irreducibles in integral domains and finite-rank monoids using techniques of number theory, combinatorics, and convex geometry. My research in combinatorics focuses on matroids, in particular those coming from geometry. I am also interested in cluster algebras, posets, and lattices.
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{\large\textbf{Research Interest:}} Algebra and Combinatorics. In algebra, I am mostly interested in the study of the phenomenon of non-uniqueness of factorizations into irreducibles in integral domains and finite-rank monoids using techniques of linear algebra, combinatorics, and number theory. My research in combinatorics focuses on matroids and posets. I am also interested in cluster algebras and polyhedral geometry.
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{\large\textbf{Invited Talks at Conferences and Seminars}}
\begin{etaremune}
	%\item \textcolor{purp}{\emph{Systems of Sets of Lengths of Puiseux Monoids}} \\
	\item TU Graz, Conference on Rings and Polynomials \\
	Graz, Austria (Summer 2021)
	
	%\item \textcolor{purp}{\emph{Factorizations in Puiseux Algebras}} \\
	\item Joint Mathematics Meetings (JMM), Session on Commutative Rings: Ideals, Modules, and Factorizations \\
	Washington DC (Spring 2021)
	
	\item \textcolor{purp}{\emph{On Strongly Primary Monoids, with a Focus on Puiseux Monoids}} \\
	University of Sharjah, 3rd International Conference on Mathematics and Statistics \\
	Dubai, United Arab Emirates (Spring 2020).
	
	\item \textcolor{purp}{\emph{Application of Puiseux Monoids in Commutative Algebra}} \\
	Florida Atlantic University (FAU), Algebra Seminar  \\
	Boca Raton, FL (Spring 2020)
	
	\item \textcolor{purp}{\emph{Geometry and Combinatorics of Positive Lattice Submonoids}} \\
	Stanford University, 3rd California Alliance Conference \\
	Palo Alto, CA (Fall 2019).
	
	\item \textcolor{purp}{\emph{Atomic Properties of Monoid Algebras}} \\
	University of Florida (UF), Algebra Seminar \\
	Gainesville, FL (Fall 2019)
	
	\item \textcolor{purp}{\emph{The Elasticity of Atomic Monoids and Domains}} \\
	Sam Houston State University, Algebra Colloquium \\
	Sam Houston, TX (Fall 2019)
	
	\item \textcolor{purp}{\emph{The Rational-infinite Elasticity Property and Some Related Conjectures}} \\
	University of Florida (UF), Algebra Seminar \\
	Gainesville, FL (Fall 2019)
	
	\item \textcolor{purp}{\emph{Philosophical and Mathematical Notion of Atomicity}} \\
	Tokyo Institute of Technology (TIT), Bright Future Conference \\
	Tokyo, Japan (Summer 2019)
	
	\item\textcolor{purp}{\emph{A Class of Primary Monoids and the Atomicity of Their Monoid Algebras}} \\
	University of Graz, Algebra Seminar \\
	Graz, Austria (Summer 2019)
	
	\item \textcolor{purp}{\emph{On the Atomicity of Monoid Algebras of Finite Characteristic}} \\
	University of Hawaii, AMS Sectional Meeting: Arithmetic Properties of Integral Domains and Monoids \\
	Honolulu, HI (Spring 2019)
	
	\item \textcolor{purp}{\emph{On Transfer Properties of Monoid Algebras}} \\
	University of South Florida (USF), Discrete Mathematics Seminar \\
	Tampa, FL (Spring 2019)
	
	\item \textcolor{purp}{\emph{A Question by Gilmer on the Atomicity of Monoid Domains}} \\
	University of Florida, Algebra Seminar \\
	Gainesville, FL (Spring 2019)
	
	\item \textcolor{purp}{\emph{Factorizations in Puiseux Algebras}} \\
	Joint Mathematics Meetings (JMM), Session on Algebra \\
	Baltimore, MD (Spring 2019)
	
	\item \textcolor{purp}{\emph{On Monoid Algebras with Rational Exponents}} \\
	University of Florida, Algebra Seminar \\
	Gainesville, FL (Fall 2018)
	
	\item \textcolor{purp}{\emph{On a None-finitely Generated Generalization of Semigroup Algebras}} \\ International Meeting on Numerical Semigroups (IMNS) \\
	Cortona, Italy (Fall 2018)
	
	\item \textcolor{purp}{\emph{Positroids Induced by Rational Dyck Paths}} \\
	Dartmouth College, Formal Power Series and Algebraic Combinatorics (FPSAC) \\
	Hanover, NH (Summer 2018)
	
	\item \textcolor{purp}{\emph{Generalized Affine Semigroups: Their Sets of Lengths and Elasticity}} \\
	UC Davis, Algebra and Discrete Mathematics Seminar \\
	Davis, CA (Spring 2018)
	
	\item \textcolor{purp}{\emph{Tilings and Matroids on the Lattice Points of a Two-dimensional Simplex}} \\ UC Berkeley, California Alliance Conference \\
	Berkeley, CA (Spring 2018)
	
	\item \textcolor{purp}{\emph{Systems of Sets of Lengths of Puiseux Monoids}} \\
	University of Graz, Conference of Rings and Factorizations \\
	Graz, Austria (Spring 2018)
	
	\item \textcolor{purp}{\emph{On Tilings and Matroids on the Lattice Points of a Regular Simplex}} \\
	University of Miami (UM), Combinatorics Seminar \\
	Coral Gables, FL (Spring 2018)
	
	\item \textcolor{purp}{\emph{Dyck Paths and Positroids from Unit Interval Orders}} \\
	Queen Mary University of London, Formal Power Series and Algebraic Combinatorics (FPSAC) \\
	London, United Kingdom (Summer 2017)
	
	\item \textcolor{purp}{\emph{Positroids Induced by Unit Interval Orders}} \\
	University of Miami (UM), Combinatorics Seminar \\
	Coral Gables, FL (Spring 2017).
	
	\item \textcolor{purp}{\emph{Dyck Paths and Positroids from Unit Interval Orders}} \\
	UC Berkeley, Combinatorics Seminar \\
	Berkeley, CA (Spring 2017)
	
	\item \textcolor{purp}{\emph{Toric Algebra: Semigroup Rings}} \\
	UC Berkeley, Combinatorial Commutative Algebra Seminar \\
	Berkeley, CA (Spring 2017)
	
	\item \textcolor{purp}{\emph{Monomial Ideals: Stanley-Reisner Ideals}} \\
	UC Berkeley, Combinatorial Commutative Algebra Seminar \\
	Berkeley, CA (Spring 2017)
	
	\item \textcolor{purp}{\emph{Puiseux Monoids and Their Atomic Structure}} \\
	International Meeting on Numerical Semigroups (IMNS) \\
	Levico Terme, Italy (Summer 2016)
	
	\item \textcolor{purp}{\emph{Algebra of Symmetric Functions}} \\
	UC Berkeley, Student Combinatorics Seminar \\
	Berkeley, CA (Spring 2016)
	
	\item \textcolor{purp}{\emph{Incidence Algebras and M\"obius Inversion Formula}} \\
	UC Berkeley, Student Combinatorics Seminar \\
	Berkeley, CA (Spring 2016)
	
	\item \textcolor{purp}{\emph{A Friendly Introduction to Numerical Semigroups}} \\
	University of Hawaii, PURE Math Symposium \\
	Hilo, HI (Summer 2015)
	
	\item \textcolor{purp}{\emph{On Realizable Delta Sets of Block Monoids of Cyclic Class Groups}} \\
	University of Hawaii, PURE Math Symposium \\
	Hilo, HI (Summer 2013)
	
	\item \textcolor{purp}{\emph{An Isomorphism Theorem of Completely Semisimple Inverse Semigroup}} \\
	California State University at Chico, Researcher Experience for Undergraduates and Teachers \\
	Chico, CA (Summer 2012)
\end{etaremune}

%{\large\textbf{Scientific Publications}}
%\begin{etaremune}
%	
%	\item \textcolor{purp}{\emph{Factorization of upper triangular matrices over information semialgebras}} \\
%	(with N. R. Baeth) \\
%	Journal of Algebra (to appear) \\
%	ArXiv link: \url{https://arxiv.org/pdf/2002.09828.pdf}
%	
%	\item \textcolor{purp}{\emph{On the system of sets of lengths and the elasticity of submonoids of a finite-rank free commutative monoid}} \\
%	Journal of Algebra and its Applications (to appear) \\
%	ArXiv link: \url{https://arxiv.org/pdf/1806.11273.pdf}
%	
%	\item \textcolor{purp}{\emph{When is a Puiseux monoid atomic?}} \\ 
%	(with S. T. Chapman and M.~Gotti) \\
%	The American Mathematical Monthly (to appear) \\
%	ArXiv link: \url{https://arxiv.org/pdf/1908.09227.pdf}
%	
%	\item \textcolor{purp}{\emph{The elasticity of Puiseux monoids}} \\
%	(with C. O'Neill) \\
%	Journal of Commutative Algebra (to appear) \\
%	ArXiv link: \url{https://arxiv.org/pdf/1703.04207.pdf}
%	%DOI: https://projecteuclid.org/euclid.jca/1523433696
%	
%	\item \textcolor{purp}{\emph{Geometric and combinatorial aspects of submonoids of a finite-rank free commutative monoid}} \\
%	Linear Algebra and Its Applications, Vol. \textbf{604} (2020) 146--186.
%	
%	\item \textcolor{purp}{\emph{Irreducibility and factorizations in monoid rings}} \\
%	In: Numerical Semigroups (eds. V. Barucci, S. T. Chapman, M. D'Anna, and R. Fr\"oberg) pp. 129--139. Springer INdAM Series, vol. \textbf{40}, Switzerland, 2020.
%	
%	\item \textcolor{purp}{\emph{On the molecules of numerical semigroups, Puiseux monoids, and Puiseux algebras}} \\
%	(with M. Gotti) \\
%	In: Numerical Semigroups (Eds. V. Barucci, S. T. Chapman, M. D'Anna, and R. Fr\"oberg) pp. 141--161. Springer INdAM Series, vol. \textbf{40}, Switzerland, 2020.
%	
%	\item \textcolor{purp}{\emph{Factorization invariants of Puiseux monoids generated by geometric sequences}} \\
%	(with S. Chapman and M. Gotti) \\
%	Communications in Algebra, Vol. \textbf{48} (2020) 380--396.
%	
%	\item \textcolor{purp}{\emph{On the atomicity of monoid algebras}} \\
%	(with J. Coykendall) \\
%	Journal of Algebra, Vol. \textbf{539} (2019) 138--151.
%	
%	\item \textcolor{purp}{\emph{Systems of sets of lengths of Puiseux monoids}} \\
%	Journal of Pure and Applied Algebra, Vol. \textbf{223} (2019) 1856--1868.
%	
%	\item \textcolor{purp}{\emph{Increasing positive monoids of ordered fields are FF-monoids}} \\
%	Journal of Algebra, Vol. \textbf{518} (2019) 40--56.
%	
%	\item \textcolor{purp}{\emph{How do elements really factor in $\mathbb{Z}[\sqrt{-5}]$?}} \\
%	(with S.~Chapman and M.~Gotti) \\ 
%	In: Advances in Commutative Algebra (Eds. A. Badawi and J. Coykendall), pp. 171--195,
%	Springer Trends in Mathematics, Birkh\"auser, Singapore, 2019.
%	
%	\item \textcolor{purp}{\emph{On positroids induced by rational Dyck paths (Extended Abstract)}} \\
%	S\'eminaire Lotharingien de Combinatoire, Vol. \textbf{80B} (2018) 12pp.
%	
%	\item \textcolor{purp}{\emph{Puiseux monoids and transfer homomorphisms}} \\
%	Journal of Algebra, Vol. \textbf{516} (2018) 95--114.
%	
%	\item \textcolor{purp}{\emph{Minimal presentations of shifted numerical semigroups}} \\
%	(with R. Conaway, J. Horton, C. O'Neill, R. Pelayo, M. Williams, and B. Wissman) \\
%	International Journal of Algebra and Computation, Vol. \textbf{28} (2018) 53--68.
%	
%	\item  \textcolor{purp}{\emph{Dyck paths and positroids from unit interval orders}} \\
%	(with A. Chavez) \\
%	Journal of Combinatorics Theory Series A, Vol. \textbf{154} (2018) 507--532.
%	
%	\item  \textcolor{purp}{\emph{Atomicity and boundedness of monotone Puiseux monoids}} \\
%	(with M. Gotti) \\
%	Semigroup Forum, Vol. \textbf{96} (2018) 536--552.
%	
%	%\item \emph{Increasing Positive Monoids of Ordered Fields Are FF-monoids.} (submitted) Available on the arXiv: https://arxiv.org/pdf/1610.08781.pdf
%	%\item \emph{Atomicity and Boundedness of Monotone Puiseux Monoids.} (with M. Gotti) (submitted)
%	
%	\item  \textcolor{purp}{\emph{On the atomic structure of Puiseux monoids}} \\
%	Journal of Algebra and Its Applications Vol. \textbf{16} (2017) 20pp.
%	
%	\item  \textcolor{purp}{\emph{Dyck paths and positroids from unit interval orders (Extended Abstract)}} \\
%	(with A. Chavez) \\
%	S\'eminaire Lotharingien de Combinatoire, Vol. \textbf{78B} (2017) 12pp.
%	
%	\item  \textcolor{purp}{\emph{Matroids and convex geometry in combinatorics and algebra}} \\
%	eScholarship University of California (PhD Dissertation).
%	
%	\item  \textcolor{purp}{\emph{On delta sets and their realizable subsets in Krull monoids with cyclic class groups}} \\
%	(with S. Chapman and R. Pelayo) \\
%	Colloquim Mathematicum, Vol. textbf{137} (2014) 137--146.
%	
%	\vspace{8pt}
%	\hspace{-32pt} {\large\textbf{Manuscripts Submitted to Peer-Reviewed Journals}}
%	\vspace{4pt}
%	
%	\item  \textcolor{purp}{\emph{Other-half factoriality in commutative monoids and integral domains}} \\
%	(with S. T. Chapman, J. Coykendall, and W. W. Smith)
%	
%	\item  \textcolor{purp}{\emph{On strongly primary monoids, with a focus on Puiseux monoids}} \\
%	(with A. Geroldinger and S. Tringali) \\
%	ArXiv link: \url{https://arxiv.org/pdf/1910.10270.pdf}
%	
%	\item  \textcolor{purp}{\emph{Positroids induced by rational Dyck paths}} \\
%	ArXiv link: \url{https://arxiv.org/pdf/1706.09921.pdf}
%	
%	\item  \textcolor{purp}{\emph{Atomic and antimatter semigroup algebras with rational exponents}} \\
%	ArXiv link: \url{https://arxiv.org/pdf/1801.06779.pdf}
%	
%	\item  \textcolor{purp}{\emph{Tilings and matroids on the lattice points of a regular simplex}} \\
%	(with H. Polo) \\
%	ArXiv link: \url{https://arxiv.org/pdf/1802.05633.pdf}
%	
%	
%	
%	
%	\vspace{8pt} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%	\hspace{-32pt} {\large\textbf{Manuscripts Under Preparation}}
%	\vspace{4pt}
%	
%	\item  \textcolor{purp}{\emph{Atomicity in subrings and extension rings}} \\
%	(with J. Coykendall and R. Hasenauer)
%	
%	\item  \textcolor{purp}{\emph{On the additive structure of cyclic algebraic semirings}} \\
%	(with J. Correa-Morris)
%	
%	\item \textcolor{purp}{\emph{Bounded and finite factorization domains}} \\
%	(with D. F. Anderson)
%	
%	\item  \textcolor{purp}{\emph{Half-factorial sets on monoids and integral domains}} \\
%	(with S. T. Chapman)
%	
%	\item  \textcolor{purp}{\emph{On the atomicity of positive monoids and semirings}} \\
%	(with S. T. Chapman and M. Gotti)
%	
%\end{etaremune}
%
%
%
%
%
%%{\large\textbf{Manuscripts Submitted to Peer-Reviewed Journals}}
%%\begin{etaremune}
%%%	
%%%	\vspace{8pt}
%%%	\hspace{-32pt} {\large\textbf{Manuscripts Submitted to Peer-Reviewed Journals}}
%%%	\vspace{4pt}
%%	
%%	\item \emph{Factorization of upper triangular matrices over information algebras} (with N. R. Baeth) \\ 
%%	Preprint on arXiv: https://arxiv.org/pdf/2002.09828.pdf
%%	
%%	\item \emph{On strongly primary monoids, with a focus on Puiseux monoids} (with A. Geroldinger and S. Tringali) \\ 
%%	Preprint on arXiv: https://arxiv.org/pdf/1910.10270.pdf
%%	
%%	\item \emph{Positroids induced by rational Dyck paths} \\ 
%%	Preprint on arXiv: https://arxiv.org/pdf/1706.09921.pdf
%%	
%%	\item \emph{Atomic and antimatter semigroup algebras with rational exponents} \\ 
%%	Preprint on arXiv: https://arxiv.org/pdf/1801.06779.pdf
%%	
%%	\item \emph{Tilings and matroids on the lattice points of a regular simplex} (with H.~Polo) \\
%%	Preprint on arXiv: https://arxiv.org/pdf/1802.05633.pdf
%%	
%%	\vspace{10pt}
%%	\hspace{-32pt} {\large\textbf{Scientific Publications}}
%%	\vspace{4pt}
%%	
%%	\item \emph{Geometric and combinatorial aspects of submonoids of a finite-rank free commutative monoid} \\
%%	Linear Algebra and Its Applications (to appear) \\ Preprint on arXiv: https://arxiv.org/pdf/1907.00744.pdf
%%	
%%	\item \emph{When is a Puiseux monoid atomic?} (with S. T. Chapman and M.~Gotti) \\
%%	The American Mathematical Monthly (to appear) \\ Preprint on arXiv: https://arxiv.org/pdf/1908.09227.pdf
%%	
%%	\item \emph{The system of sets of lengths and the elasticity of submonoids of a finite-rank free commutative monoid} \\
%%	Journal of Algebra and its Applications (to appear) \\ Preprint on arXiv: https://arxiv.org/pdf/1806.11273.pdf
%%	
%%	\item \emph{The elasticity of Puiseux monoids} (with C. O'Neill) \\
%%	Journal of Commutative Algebra (to appear) \\ 
%%	doi: https://projecteuclid.org/euclid.jca/1523433696
%%	
%%	\item \emph{Irreducibility and factorizations in monoid rings} \\
%%	In: V. Barucci, S. T. Chapman, M. D'Anna, and R. Fr\"oberg (eds): Numerical Semigroups \\
%%	Springer INdAM Series, Vol. \textbf{40}, Switzerland, 2020.
%%	
%%	\item \emph{On the molecules of numerical semigroups, Puiseux monoids, and Puiseux algebras} (with M. Gotti) \\
%%	In: V. Barucci, S. T. Chapman, M. D'Anna, and R. Fr\"oberg (eds): Numerical Semigroups \\
%%	Springer INdAM Series, Vol. \textbf{40}, Switzerland, 2020.
%%	
%%	\item \emph{Factorization invariants of Puiseux monoids generated by geometric sequences} (with S. T. Chapman and M. Gotti) \\
%%	Communications in Algebra, Vol. \textbf{48} (2020) 380--396.
%%	
%%	\item \emph{On the atomicity of monoid algebras} (with J. Coykendall) \\
%%	Journal of Algebra, Vol. \textbf{539} (2019) 138--151.
%%	
%%	\item \emph{Systems of sets of lengths of Puiseux monoids} \\
%%	Journal of Pure and Applied Algebra, Vol. {\bf 223} (2019) 1856--1868.
%%	
%%	\item \emph{Increasing positive monoids of ordered fields are FF-monoids} \\
%%	Journal of Algebra, Vol.~{\bf 518} (2019) 40--56.
%%	
%%	\item \emph{How do elements really factor in $\mathbb{Z}[\sqrt{-5}]$?} (with S.~T. Chapman and M.~Gotti) \\
%%	In: A. Badawi A and J. Coykendall (eds): Advances in Commutative Algebra, pp 171--195. \\
%%	Springer Trends in Mathematics, Birkh\"auser, Singapore, 2019.
%%	
%%	\item \emph{Puiseux monoids and transfer homomorphisms} \\
%%	Journal of Algebra, Vol. {\bf 516} (2018) 95--114.
%%	
%%	\item \emph{Extended Abstract: On positroids induced by rational Dyck paths} \\ 
%%	S\'eminaire Lotharingien de Combinatoire, Vol. {\bf 80B} (2018) 12pp.
%%	
%%	\item \emph{Minimal presentations of shifted numerical semigroups} (with R. Conaway, J. Horton, C. O'Neill, R. Pelayo, M. Williams, and B. Wissman) \\
%%	International Journal of Algebra and Computation, Vol. {\bf 28} (2018) 53--68.
%%	
%%	\item \emph{Dyck paths and positroids from unit interval orders} (with A. Chavez) \\
%%	Journal of Combinatorics Theory Series A, Vol. {\bf 154} (2018) 507--532.
%%	
%%	\item \emph{Atomicity and boundedness of monotone Puiseux monoids} (with M. Gotti) \\
%%	Semigroup Forum, Vol. {\bf 96} (2018) 536--552.
%%	
%%	\item \emph{Extended Abstract: Dyck paths and positroids from unit interval orders} (with A. Chavez) \\
%%	S\'eminaire Lotharingien de Combinatoire, Vol. {\bf 78B} (2017) 12pp.
%%	
%%	%\item \emph{Increasing Positive Monoids of Ordered Fields Are FF-monoids.} (submitted) Available on the arXiv: https://arxiv.org/pdf/1610.08781.pdf
%%	%\item \emph{Atomicity and Boundedness of Monotone Puiseux Monoids.} (with M. Gotti) (submitted)
%%	
%%	\item \emph{On the atomic structure of Puiseux monoids} \\
%%	Journal of Algebra and Its Applications Vol. {\bf 16} (2017) 20pp.
%%	
%%	\item \emph{Matroids and convex geometry in combinatorics and algebra} \\
%%	eScholarship University of California (PhD Dissertation).
%%	
%%	\vspace{8pt}
%%	\hspace{-32pt} {\large\textbf{First Publications \& Compact Version of my Undergraduate Thesis}}
%%	\vspace{4pt}
%%	
%%	\item \emph{On delta sets and their realizable subsets in Krull monoids with cyclic class groups} (with S. Chapman and R. Pelayo) \\
%%	Colloquim Mathematicum, Vol. {\bf 137} (2014) 137--146.
%%
%%\end{etaremune}
%%	
%%	
%%\medskip
%%{\large\textbf{Manuscripts Under Preparation}}	
%%\begin{itemize}
%%	
%%	\item \emph{Atomicity in subrings and extension rings} (with J. Coykendall and R. Hasenauer)
%%	
%%	\item \emph{Half-factorial sets on monoids and integral domains} (with S. T. Chapman)
%%	
%%	\item \emph{On bounded and finite factorization domain} (with D. F. Anderson)
%%	
%%	\item \emph{On the atomicity of positive monoids and semirings} (with S.~T. Chapman and M. Gotti)
%%	
%%	\item \emph{Other-half factoriality on commutative monoids and integral domains} (with S. T. Chapman, J. Coykendall, and W. W. Smith)
%%	
%%\end{itemize}



\end{document}