Dr. Cho's research interests include free probability, operator algebra and theory, combinatorics, and groupoid dynamical systems.
PhD, University of Iowa
BA, Sungkyunkwan University, Korea
"Dynamical Systems on Arithmetic Functions Determined by Primes." April 2014, Banach Journal of Mathematical Analysis.
"An Application of Free Probability to Arithmetic functions." April 2014. Complex Analysis and Operator Theory. (With Prof. Palle Jorgensen) DOI: 10.1007/s 11785-014-0378-y.
"Krein-Space Representations of Arithmetic Functions Determined by Primes." Feb. 2014. Algebras and Representation Theory. (With Prof. Palle Jorgensen) DOI: 10.1007/s 10468-014-9473-z.
"Complex-Valued Functions Induced by Graphs." Feb. 2014. CAOT DOI: 10.1007/s11785-014-0368-0.
"Actions of Arithmetic Functions on Matrices and Corresponding Representations." Dec. 2013. Annals of Functional Analysis: Special Issues (With Prof. Palle Jorgensen).
"Arithmetic Functions in Harmonic Analysis and Operator Theory." Nov. 2013. Springer Book Project: Handbook of Operator Theory (With Prof. Palle Jorgensen).
"p-Adic Banach-Space Operators and Adelic Banach-Space Operators." June 2013. Opuscula Math, no. 1 (2014) 29 - 65).
"Classification on Arithmetic Functions and Corresponding Free-Moment L-Functions." May 2013. Bulletin of Korean Math. Soc.
"Krein-Space Operators Induced by Dirichlet Characters." April 2013. (With Prof. Palle Jorgensen) Special Issue of Contemporary Mathematics, American Mathematical Society (Contemp. Math.: Commutative and Noncommutative Harmonic Analysis and Applications, (2014) 3 - 33).
"Free Distributional Data of Arithmetic Functions and Corresponding Generating Functions Determined by Gaps of Primes." Apr. 2013. CAOT DOI: 10.1007/s11785-013-0311-9, (Compl. Anal. Oper. Theo., vol. 8, issue 2, (2014) 537 - 570).
"Operators Induced by Prime Numbers." Jan. 2013. Method and Applications of Analysis, 19, no 4, (2013) 313 - 340).
Monograph : The Index Semigroup Induced by Finite Trees, (2011) LAPublisher. ISBN: 978-3-8465-9015-7.
Book : Algebra on Graph Groupoids and Application, (2011 ~ ?) In Progress. Science Publisher, and CRC Press / Taylor & Fransis Group
Monograph : Index Theory on Graphs, (2011) ISNB: 978-3-639-33271-1. VDM Publisher
Book (Multi-authors) : Graph Fractaloids: Classification & Application of Graph Groupoids with Fractal Property, (2010). Chapter: HandBook on Classification and Application of Fractals NOVA Publisher. Invited Article (a Chapter) of the above Book ISBN: 978-1-61324-198-1.
Monograph : Operations on Graphs, Groupoids, and Operator Algebras, (2010). ISBN: 978-8383-5271-8 LAPublisher
Monograph : Frames on Graphs and Corresponding von Neumann Algebras, (2010). ISBN: 978-3-639-24020-7 VDM Publisher.
Monograph : Free Calculus on Operator Algebras, (2009) ISBN : 978-3-8383-2519-4 LAPublisher.
Monograph : Distorted Histories, (2009). ISBN : 978-3-639-21083-5 VDM Publisher.
Monograph : Graph Groupoids and Partial Isometries, (2009). ISBN: 978-3-8383-1397-9 LAPublisher
Monograph : Fractals on Graphs, (2009) ISBN: 978-3-639-19447-0 VDM Publisher.
Invited Seminar (@ Seminar, FIC, CASA with Chief Inspector) June & July, 2011
Invited Talk (@ Seoul National University, PARC Operator Theory Seminar) June, 2011, Title : Distortion on Histories Invited Talk (@ Seoul National University, Operator Theory Mini Semicar 2011) June, 2011 : 1-hour talk Title : Index Semigroup and their Actions
Invited Talk (@ Univ. of South Dakota, Dep. of Math.) Mar., 2010 : 1-hour talk Title : Distorted Histories
Invited Lecture (@ Research and Development Team of Korean Airport Corporation) Jul. 2009 : 4-hour lecture, Title : Space Modulation Factors and Wave Patterns
Invited Seminar Talk (@ Seoul National Univ.) Jun., 2009 : 2-hour talk Title : C*-Subalgebras Generated by a Single Operator in B(H)
Invited Talk (@ Assumption High School, Davenport, Iowa) Mar. 2009 Title : Math? Why? How? What?
Fractal Measure Workshop (@ Univ. of Iowa, Hosted by Prof. P. Jorgensen): Feb. 2009 Invited and Attended
Study Abroad Department Representative (SADR), (Sep., 2011 ~ Present); Liaison with Center for International Education's Study Abroad Office
Math Department Program Review (2011)
Education Policies Committee (EPC) (Sep. 2011 ~ Present) member
Fullbright SIR-Fund Committee (Feb. 2011 ~ present) member
Course Development / Grant Applying for UMAIE/Seminar (Dec. 2010 ~ present) Approved in Nov. 2011. With Dr. Duk-Hyang Kim (Political Sci. Dept.)
Department working student managing (Aug. 2011 ~ present)
Hiring Committee for a 1-year position member (Aug. 2010 ~ May 2011)
Hiring Committee of a math coordinator (Aug. 2010 ~ May 2011)
Lower-Leveled-Course Development (Aug. 2010 ~ May 2011) Dept. of Math
Course Coordination (Math 151) (Fall 2010)
Modifying a course Math 360 (Fall 2010)
Committee member of Department Program Review (Spring 2010)
Website manager of the department (Spring 2010 ~ present)
Hiring Committee for a Visiting Faculty: Fall 2009, Fall 2007
Advanced Math course creating: Advanced Linear Algebra, Topology, Combinatorial Computings