Isaac B. Michael Curriculum Vitae

Education 2019 Ph.D. in Mathematics, Baylor University, Waco, TX. Advisor: Fritz Gesztesy Co-Advisor: Lance Littlejohn Thesis: Birman–Hardy–Rellich-type Inequalities 2015 M.S. in Mathematics, Baylor University, Waco, TX. 4.0 GPA 2013 B.S. in Mathematics, Tarleton State University, Stephenville, TX. 3.3 GPA; 3.9 Institutional GPA 8-12 Math Teaching Certification Doctoral and Postdoctoral Research Primary , Operator Theory, Analysis (Real, Complex, and Func- tional), Differential Equations (Ordinary and Partial) Secondary Functional Calculus, Semigroups, Lie Theory Publications and Preprints [1] Net Regular Signed Trees, with M. Sepanski, Australasian Journal of Combinatorics 66(2), 192-204 (2016). [2] On Birman’s Sequence of Hardy–Relich-Type Inequalities, with F. Gesztesy, L. Littlejohn, and R. Wellman, Journal of Differential Equations 264(4), 2761-2801 (2018). [3] Radial and Logarithmic Refinements of Hardy’s Inequality, with F. Gesztesy, L. Littlejohn, and M. M. H. Pang, Algebra i Analiz, 30(3), 55–65 (2018) (Russian), St. Petersburg Math. J., St. 30, 429–436 (2019) (English). [4] On Weighted Hardy-Type Inequalities, with C. Y. Chuah, F. Gesztesy, L. Littlejohn, T. Mei, and M. M. H. Pang, Math. Ineq. & App. (soon to appear). Louisiana State University – Department of Mathematics H (254) 366-6861 • B [email protected] Í blogs.baylor.edu/isaac_michael 1/7 [5] A Sequence of Weighted Birman–Hardy–Rellich-type Inequalities with Loga- rithmic Refinements, with F. Gesztesy, L. Littlejohn, and M. M. H. Pang (in progress). [6] Multidimensional Weighted Birman–Hardy–Rellich-type Inequalities with Radial and Logarithmic Refinements, with F. Gesztesy, L. Littlejohn, and M. M. H. Pang (in progress). Work Experience 2019-Present Postdoctoral Researcher,LOUISIANA STATE UNIVERSITY, Baton Rouge, LA. Primary: Conduct and publish advanced mathematical research in collabo- ration with a team of analysts in the fields of Analysis, , ODE’s, PDE’s, Operator Theory, and Spectral Theory. Secondary: Teach one 5-credit-hour mathematics course each semester, han- dling all student interactions, preparing all material for lectures, preparing syllabi, quizzes/exams, and assigning all grades. 2015-2019 Graduate Fellow,BAYLOR UNIVERSITY, Waco, TX. Primary: Conducted and published mathematical research in collaboration with a team of mathematicians in the fields of Graph Theory and Combi- natorics, and more recently Analysis, Functional Analysis, ODE’s, PDE’s, Operator Theory, and Spectral Theory. Secondary: Taught one 3-credit-hour mathematics course each semester. Han- dling all student interactions, preparing all material for lectures, preparing syllabi, quizzes/exams, and assigning all grades. 2014-2015 Graduate Teaching Assistant,BAYLOR UNIVERSITY, Waco, TX. Tutored undergraduates in Tutoring Lab and graded for professors. Courses: Business Pre-Calculus/Calculus, Pre-Calculus, Calculus I, II, & III, Differential Equations, Probability and Statistics, and Advanced Calculus 2013-2014 Mathematics Teacher, REICHER CATHOLIC HIGH SCHOOL, Waco, TX. Taught 9-12th-grade mathematics courses. Handled all student interactions, prepared all material for lectures, prepared syllabi, quizzes/exams, and as- signed all grades. Courses: Geometry (Honors), Algebra II (Honors), Contemporary Mathemat- ics, and AP Calculus I 2011-2013 Mathematics Tutor,TARLETON STATE UNIVERSITY, Stephenville, TX. Tutored undergraduates in Tutoring Lab. Courses: Business Pre-Calculus, Business Calculus, Pre-Calculus, Geometry, Calculus I, II, & III, and Probability and Statistics

Louisiana State University – Department of Mathematics H (254) 366-6861 • B [email protected] Í blogs.baylor.edu/isaac_michael 2/7 2011-Present Private Tutor, Waco, TX & Stephenville, TX. Tutoring undergraduates in various mathematics courses. Courses: Algebra, Geometry, Pre-Calculus, Calculus I, II, & III, Probability and Statistics, Business Calculus, Advanced Analysis Invited Presentations May 2019 Power Weighted Birman–Hardy–Rellich-type Inequalities with Logarithmic Refinements via Hartman–Mueller-Pfeiffer Transformations; Informal Anal- ysis Seminar, Baylor University; Waco, TX. Oct. 2018 Birman–Hardy–Rellich-type Inequalities and Refinements; Contributed Talk, Texas Analysis and Mathematical Symposium, Baylor Univer- sity; Waco, TX. Oct. 2018 Birman–Hardy–Rellich-type Inequalities and Refinements; Contributed Talk, Texas-Louisiana SIAM Meeting, Louisiana State University; Baton Rouge, LA. June 2018 Tangential Cauchy-Riemann Equations; joint talk with T. Alexander and E. Addison, MSRI Summer Graduate School, Mathematical Sciences Research Institute; Berkeley, CA. Apr. 2018 Birman’s Sequence of Hardy–Rellich-type Inequalities and Linear Operators with Continuous Spectra; Math Club Meeting, Tarleton State University; Stephenville, TX. Mar. 2018 Birman–Hardy–Rellich-type Inequalities and Refinements; Contributed Talk, Ohio River Analysis Meeting, University of Kentucky; Lexington, KY. Mar. 2018 Birman–Hardy–Rellich-type Inequalities and Refinements; Mini- symposium, Baylor Chapter AMS, Baylor University; Waco, TX. Nov. 2017 Birman’s Sequence of Inequalities and Generalized Continuous Cesàro Opera- tors; Brazos Analysis Seminar, University of Houston; Houston, TX. Oct. 2017 Birman’s Sequence of Inequalities and Generalized Continuous Cesàro Opera- tors; Analysis Seminar, Baylor University; Waco, TX. Aug. 2017 On Birman’s Sequence of Hardy–Rellich-Type Inequalities; Contributed Talk, International Workshop on Operator Theory and its Applications, Technische Universität; Chemnitz, Germany. Mar. 2017 On Birman’s Sequence of Inequalities; Mini-symposium, Baylor Chapter AMS, Baylor University; Waco, TX. Jan. 2017 Net Regular Signed Trees; AMS Contributed Paper Session, Joint Mathe- matics Meeting; Atlanta, GA.

Louisiana State University – Department of Mathematics H (254) 366-6861 • B [email protected] Í blogs.baylor.edu/isaac_michael 3/7 Conferences, Workshops, and Seminars Oct. 2018 Texas Analysis and Mathematical Physics Symposium; Baylor Uni- versity; Waco, TX. Oct. 2018 Texas-Louisiana SIAM Meeting; Louisiana State University; Baton Rouge, LA. Sept. 2018 Brazos Analysis Seminar; Texas A&M University; College Station, TX. June 2018 MSRI Summer Graduate School; The ∂-Problem in the Twenty-First Cen- tury, Mathematical Sciences Research Institute; Berkeley, CA. Mar. 2018 Ohio River Analysis Meeting; University of Kentucky; Lexington, KY. Nov. 2017 Brazos Analysis Seminar; University of Houston; Houston, TX. Aug. 2017 International Workshop on Operator Theory and its Applications; Technische Universität; Chemnitz, Germany. Jan. 2017 Joint Mathematics Meeting; Atlanta, GA. July 2016 MSRI Summer Graduate School; An Introduction to Character Theory and the McKay Conjecture, Mathematical Sciences Research Institute; Berkeley, CA. Awards and Honors 2014-Present Graduate Student Fellowship, Baylor University, Waco, TX. Graduate student full tuition funding from the graduate school for outstanding students. June 2018 Accepted to participate in MSRI Graduate Summer School, Mathe- matical Sciences Research Institute, Berkeley, CA. Chosen by the Baylor University Mathematics Department to attend MSRI Graduate Summer School, The ∂-Problem in the Twenty-First Cen- tury . July 2016 Accepted to participate in MSRI Graduate Summer School, Mathe- matical Sciences Research Institute, Berkeley, CA. Chosen by the Baylor University Mathematics Department to attend MSRI Graduate Summer School, An Introduction to Character Theory and the McKay Conjecture.

Grants and Funding June 2018 MSRI Graduate Summer School Funding, Mathematical Sciences Re- search Institute, The ∂-Problem in the Twenty-First Century. This award assisted with travel and lodging for MSRI Graduate Sum- mer School in Berkeley, California. Traveled as a graduate student. Louisiana State University – Department of Mathematics H (254) 366-6861 • B [email protected] Í blogs.baylor.edu/isaac_michael 4/7 Mar. 2018 Graduate Student Travel Award, Baylor University, Birman–Hardy– Rellich-type Inequalities and Refinements. This award assisted with travel and lodging for the Ohio River Analysis Meeting in Lexington, Kentucky. Traveled as an invited speaker.

Aug. 2017 Graduate Student Travel Award, Baylor University, On Birman’s Se- quence of Hardy–Rellich-type Inequalities. This award assisted with travel and lodging for the International Work- shop on Operator Theory and its Applications in Chemnitz, Germany. Traveled as an invited speaker.

Jan. 2017 Graduate Student Travel Award, Baylor University, Net Regular Signed Trees. This award assisted with travel and lodging for the Joint Mathematics Meeting in Atlanta, Georgia. Traveled as an invited speaker and chair for the AMS Contributed Paper Session.

July 2016 MSRI Graduate Summer School Funding, Mathematical Sciences Re- search Institute, An Introduction to Character Theory and the McKay Con- jecture. This award assisted with travel and lodging for MSRI Graduate Sum- mer School in Berkeley, California. Traveled as a graduate student.

Technical Skills Programming LaTex (including Beamer), Python, R, VBA, C#, Java, and HTML (basic) Applications Matlab, Maple, and Mathematica OS Windows, Mac, and Linux (basic) Educational WebAssign, Blackboard, and Canvas Other Microsoft/Open Office Suite plus add-ons Memberships { American Mathematical Society (AMS) { Mathematical Association of America (MAA) { Graduate Student Association (GSA)

Louisiana State University – Department of Mathematics H (254) 366-6861 • B [email protected] Í blogs.baylor.edu/isaac_michael 5/7 Professional Development Jan. 2017 Seminars for Excellence in Teaching; Baylor University; Waco, TX. Participated in five university-sponsored teaching seminars designed to further professional development through discussion and exposure to interactive teaching methods, lesson planning, objective-oriented course outlines, technology for supplemental instruction, flipped class- rooms, and adjustments for at-risk students. Undergraduate Coursework (Selected)

{ Foundations of Engineer- { Number Theory with Ap- { Abstract Algebra ing I & II plication to Cryptology { Discrete Mathematics { Probability and Statistics { Applied Matrix Algebra { Technical Writing & Doc- I & II { Advanced Analysis ument Design { Calculus I, II, &III { Linear Algebra { C# Programming Graduate Coursework

{ Advanced Calculus I & II { Operator and Spectral { ODE Theory { Abstract Algebra I & II Theory I & II { Functional Analysis { Topology { Differential Geometry { Lie Theory { Algebraic Topology { Graph Theory { Potential Theory { Real Analysis I & II { Rings { PDE Theory { Complex Analysis { Additive Combinatorics { Calculus of Variations { Distribution Theory I & { Compact Lie Groups II { Riemann Surfaces

Louisiana State University – Department of Mathematics H (254) 366-6861 • B [email protected] Í blogs.baylor.edu/isaac_michael 6/7 References

Fritz Gesztesy Lance Littlejohn Ralph and Jean Storm Professor of Mathematics Professor of Mathematics and Department Chair Department of Mathematics Department of Mathematics Baylor University Baylor University One Bear Place #97328 One Bear Place #97328 Waco, TX 76798-7328 Waco, TX 76798-7328 Phone: (254) 710-2899 Phone: (254) 710-3165 Email: [email protected] Email: [email protected]

Paul Hagelstein Michael Pang Associate Professor of Mathematics Professor of Mathematics Department of Mathematics Department of Mathematics Baylor University University of Missouri One Bear Place #97328 122A Mathematical Sciences Building Waco, TX 76798-7328 Columbia, MO 65211 Phone: (254) 710-4879 Phone: (573) 882-0322 Email: [email protected] Email: [email protected]

Tao Mei Constanze Liaw Associate Professor of Mathematics Assistant Professor Department of Mathematics Department of Mathematics Baylor University University of Delaware One Bear Place #97328 501 Ewing Hall Waco, TX 76798-7328 Newark, DE 19716 Phone: (254) 710-3229 Phone: (302) 831-2653 Email: [email protected] Email: [email protected]

Mark Sepanski Professor of Mathematics and Director of Graduate Studies Department of Mathematics Baylor University One Bear Place #97328 Waco, TX 76798-7328 Phone: (254) 710-6574 Email: [email protected]

Louisiana State University – Department of Mathematics H (254) 366-6861 • B [email protected] Í blogs.baylor.edu/isaac_michael 7/7