**Tel: 410-455-2338**
**Fax: 410-455-3969**
**E-Mail: Lomonaco@umbc.edu**
**Web Page: http://www.cs.umbc.edu/~lomonaco**

**1985 - Present
University of Maryland Baltimore County (UMBC),**
**
Baltimore, MD, Computer Science & Electrical Engineering**
**
Department, Full Professor. (Chair, 1985-1991.) (1991-92,**
**
while on sabbatical leave from UMBC, Academic Visitor at**
**
Center for Computing Sciences (CCS), Bowie, MD.)**

**
Fall Semester 2003, Visiting Key Senior Research Scientist,
Mathematical Sciences Research Institute (MSRI), Berkley, California**

Institute for Scientific Interchange (ISI) in Turin, Italy as a

Senior LaGrange Fellow.

**1983-1985
Army Research Laboratories (ARL), Adelphi, MD, Research**
**
computer scientist/mathematician (signal processing).**

**1981-1983
Institute for Defense Analyses (IDA), Alexandria, VA,**
**
Science & Technology, Computer Scientist/Mathematician**
**
(Design & Development of Ada.)**

**1971-1981
State University of New York at Albany (SUNYA), Albany, NY,**
**
Computer Science Department, Associate Professor. (1974-76,**
**
while on leave from SUNYA, Academic Visitor at Center for**
**
Communications Research (CCR), Princeton, NJ.)
(1979-80,
while on sabbatical leave from SUNYA, Visiting Associate
Professor of Mathematics and Computer Science, Unversity
of British Columbia,
Vancouver, B.C., Canada.)
**

**1969-1971
Texas Instruments, Dallas, TX, Research Computer**
**
Scientist/Mathematician (Advanced Scientific Computer (ASC)**
**
Development.)**

**1965-69
Florida State University, Tallahassee, FL, Mathematics**
**
Department, Assistant Professor.**

**1964-65
St. Louis University, Mathematics Department, Assistant**
**
Professor**

**Brief Summary of Accomplishments**

**Dr. Lomonaco is internationally known for his
many contributions both in Mathematics and in Computer Science. **

**In mathematics,
Dr. Lomonaco provided a solution to problem 36 of R.H. Fox, a problem that
resisted solution for over 15 years. In doing so, he created the hyperbolic
section representation of four dimensional knots, and a homology theory
for systems of groups connected by morphisms. The latter was accomplished
by inventing a generalization of
Eilenberg-Mac Lane complexes, called GEM complexes. He also demonstrated
that Saunders Mac Lane's algebraic 3-type completely classifies a large
class of four dimensional knots. Moreover, he created the movie-movie
representation of five dimensional knots. Recently, Dr. Lomonaco
has shown how knot theory can be applied to solve some outstanding problems
in electrodynamics. He also serves as an associate editor of the Journal
of Knot Theory.**

**In computer science, Dr. Lomonaco has used
group representation theory to develop the theory of non-abelian error-correcting
codes. He has developed a symbolic algorithm for factoring integers that
reduces integer factoring to the task of solving boolean equations. For
his many contributions to the development of the programming language Ada,
Dr. Lomonaco received an award from the United States Under Secretary of
Defense for Research and Engineering, Dr. Richard DeLauer. In quantum
cryptography, he has shown how quantum information theory can be used to
gain a better understanding of eavesdropping with quantum entanglement.
In quantum computation, he has shown how Lie groups can be used to solve problems
arising in the study of quantum entanglement. He is currently working on
the development of new quantum algorithms based on the quantum hidden subgroup
paradigm.**

**Dr. Lomonaco was the first to
formally introduce to the American Mathematical Society (AMS) the new and
emerging discipline of quantum information science. He did so by organizing
and giving at the Annual Meeting of the AMS held in Washington, DC in January
2000, the first AMS Short Course on Quantum Computation and the first AMS
Special Session on Quantum Computation and Information. These two events (AMS
Short Course and AMS Special Session) were recorded as two AMS books:**

- Quantum Computation: A Grand Mathematical Challenge for the Twenty-First Century and the Millennium, PSAPM/58, AMS, (2002)
Quantum Computation and Information, CONM/305, AMS, (2002)

**These books were written with the purpose of enticing and daring the
mathematical community into participating in the many mathematical research
opportunities arising from the “Grand Challenge of Quantum Information
Science.” **

**For the fall semester of 2003, Dr. Lomonaco was a
visiting member of the Mathematical Sciences Research Institute (MSRI) in
Berkeley, California, and participated in the MSRI semester-long program on
quantum Information Science in the invited role of Key Senior Research
Scientist.**

**Dr. Lomonaco has also given many invited one hour
lectures on quantum computation and quantum cryptography at various
institutions and professional meetings. Recently, Dr. Lomonaco gave four
invited one hour lectures at the University of Virginia NSF Conference and
Workshop on Coding Theory and Quantum Computing. **

**At the University of
Maryland Baltimore County (UMBC), he teaches a graduate level course CMSC 643
on quantum computation, and currently has two PhD students working under his
direction. He also serves as Associate Editor of the Journal of Knot Theory
and Its Ramifications. Dr. Lomonaco is also PI (with Co-PI Louis Kauffman) of
the Quantum Algorithms Research Group which currently receives support from
DARPA. This group has for example created
six new quantum hidden subgroup (QHS) algorithms, namely the Wandering Shor
algorithm, the Lifted Shor algorithm, the Quantum Circle algorithm, the Dual
Shor algorithm, and a Quantum Algorithm for Functional Integrals.**

**Quantum Computation, Quantum Cryptography,
Entangled States, Quantum Eavesdropping; Knots, Electrodynamics, Energy,
Magnetic Knots, Electrostatic Knots, Minimal Energy Knots, Fluid Dynamics,
Plasmas, Vortices, Gauge Theory; Error-Correcting Codes, Algebraic Codes,
Non-abelian Codes, Metacyclic Groups, Group Representations; Symbolic Computation,
Boolean Rings, Factoring, Algebraic Ring Extensions; Homotopy Groups, Higher
Dimensional Knot Theory, Homology of Group Systems, Covering Spaces, Morse
Theory**

**Publications**

**For publications, please link to Representative
Publications**