michael penn mathematician

571-617, Vertex algebraic structure of principal subspaces of basic $$A_{2n}^{(2)}$$-modules.with C. Calinescu and A. Milas.Journal of Pure and Applied Algebra, Volume 220, Issue 5 (2016) 1752-1784, Lattice vertex superalgebras I: Presentation of the principal subalgebraCommunications in Algebra, Volume 42, Issue 3 (2014) 933-961, Lattice vertex algebras and combinatorial bases: general case and $$\mathcal{W}$$-algebraswith A. Milas.New York Journal of Mathematics, Volume 18 (2012) 621-650, Lattice vertex algebras and combinatorial bases.Ph.D. (AY 2014-2015), Principal subspaces of twisted modules of certain lattice vertex operator algebras. Please check-out the navigation to the left to learn about my teaching and research interests. Permutation orbifolds of fermion vertex algebras (Spring 2018 - present), Currently: Ph.D. student at University at Albany (SUNY), Finite group orbifolds of the rank two Heisenberg vertex algebra (Summer 2018), Currently: Engineering Physics/Mathematics Major at Randolph College (expected graduation: Spring 2020), Paper: $$\mathbb{Z}_2$$ invariants of the rank n free fermion algebra (Summer 2016)poster, Paper: Permutation orbifolds of the Heisenberg vertex algebra: $$\mathcal{H}(3)$$ (AY 2017-2018), Thesis: Invariant subspaces of the rank 2 Heisenberg vertex algebra (AY 2017-2018)slides, poster. Permutation orbifold of the Heisenberg vertex algebra, $$\mathcal{H}(3)$$ with A. Milas and H. Shao Journal of Mathematical Physics, Volume 60, Number 2 (2019) arXiv:1804.01036 Paper: $$\mathbb{Z}_2$$ invariants of the rank n free fermion algebra (Summer 2016)slides, Thesis: $$\mathbb{Z}_2$$ invariants of the bosonic ghost algebra (AY 2016-2017), Currently: Data analyst at Lexidyne, Colorado Springs, Thesis: A universal algebra approach to multi-valued logic (AY 2015-2016), Thesis: On the equivalent axioms defining vertex algebras. Drazen Adamovic Department of Mathematics, Faculty of Science, University of Zagreb, Croatia Verified email at math.hr. Currently: M.S. Title. Sort. I am currently an Assistant Professor of Mathematics at Randolph College in Lynchburg, Virginia. 242-291. Michael Penn. Please check-out the navigation to the left to learn about my teaching and research interests. About me — Michael Penn I am currently an Assistant Professor of Mathematics at Randolph College in Lynchburg, Virginia. student in Operations Research at Georgia Institute of Technology. Randolph College. My favorite sport climbing area is Rifle Mountain Park in Western Colorado and my favorite bouldering area is Hueco Tanks near El Paso, Texas. In addition to my life in academia, I have a wonderful family and several outside interests. Vertex Operators Algebras. Currently: Ph.D. student in Mathematics at Colorado State University. Permutation orbifold of the Heisenberg vertex algebra, $$\mathcal{H}(3)$$with A. Milas and H. ShaoJournal of Mathematical Physics, Volume 60, Number 2 (2019) arXiv:1804.01036, Principal subspaces of twisted modules of certain lattice vertex operator algebraswith C. Sadowski and G. Webb.to appear, International Journal of Mathematics, arXiv:1804.09230, Presentations of principal subspaces of higher level standard $$A_2^{(2)}$$-moduleswith C. Calinescu and C. Sadowskito appear: Algebras and Representation Theory arXiv:1806.01634, $$\mathbb{Z}_2$$ invariants of the free fermion algebrawith O. Chandrasekhar and H. Shao.Communications in Algebra, Volume 46, Issue 10 (2018) pp.4201-4222, Vertex algebraic structure of principal subspaces of standard modules of twisted affine Kac-Moody Lie algebras of type $$ADE$$.with C. Sadowski.Journal of Algebra, Volume 496 (2018) pp. Projects: Paper: $$\mathbb{Z}_2$$ invariants of the rank n free fermion algebra (Summer 2016) poster. Paper: Permutation orbifolds of the Heisenberg vertex algebra: $$\mathcal{H}(3)$$ (AY 2017-2018) Thesis: Invariant subspaces of the rank 2 Heisenberg vertex algebra (AY 2017-2018) slides, poster. Verified email at randolphcollege.edu - Homepage. 242-291, Vertex algebraic structure of principal subspaces of standard $$D_4^{(3)}$$-moduleswith C. Sadowski.Ramanujan Journal, Volume 43, Issue 3 (2017) pp. I have been rock climbing for fourteen years climbing up to 5.14c (8c+) sport climbs and V12 (8A+) boulders. Journal of Pure and Applied Algebra, Volume 220, Issue 5 (2016) 1752-1784, Communications in Algebra, Volume 42, Issue 3 (2014) 933-961.