Caryn Navy
   HOME

TheInfoList



OR:

Caryn Linda Navy (born July 5, 1953) is an American
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...
and
computer scientist A computer scientist is a scientist who specializes in the academic study of computer science. Computer scientists typically work on the theoretical side of computation. Although computer scientists can also focus their work and research on ...
. Blind since childhood, she is chiefly known for her work in set-theoretic topology and
Braille technology Braille technology is assistive technology which allows blind or visually impaired people to read, write, or manipulate braille electronically. This technology allows users to do common tasks such as writing, browsing the Internet, typing in Brail ...
.


Early life

Navy was born in
Brooklyn Brooklyn is a Boroughs of New York City, borough of New York City located at the westernmost end of Long Island in the New York (state), State of New York. Formerly an independent city, the borough is coextensive with Kings County, one of twelv ...
,
New York New York most commonly refers to: * New York (state), a state in the northeastern United States * New York City, the most populous city in the United States, located in the state of New York New York may also refer to: Places United Kingdom * ...
in 1953. Born
premature Premature may refer to: * ''Premature'' (2014 film), an American comedy film * ''Premature'' (2019 film), an American romantic drama film * '' PREMature'', a 2015 British television drama miniseries See also * Premature aging, of an organism * ...
, she was diagnosed as totally blind from
retinopathy of prematurity Retinopathy of prematurity (ROP), also called retrolental fibroplasia (RLF) and Terry syndrome, is a disease of the eye affecting prematurely born babies generally having received neonatal intensive care, in which oxygen therapy is used beca ...
. Her family soon discovered that she could actually see from the corner of one eye, but at age 10 she lost all sight due to
retinal detachment Retinal detachment is a condition where the retina pulls away from the tissue underneath it. It may start in a small area, but without quick treatment, it can spread across the entire retina, leading to serious vision loss and possibly blindness. ...
. The next year, in sixth grade, Navy began learning to read and write
Braille Braille ( , ) is a Tactile alphabet, tactile writing system used by blindness, blind or visually impaired people. It can be read either on embossed paper or by using refreshable braille displays that connect to computers and smartphone device ...
at school. She also learned the
Nemeth Braille The Nemeth Braille Code for Mathematics and Science Notation is a Braille code for encoding mathematical and scientific notation linearly using standard six-dot Braille cells for tactile reading by the visually impaired. The code was developed ...
system for writing
mathematics Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many ar ...
, which became her favorite subject. She enjoyed team math competitions, and at age 14 independently rediscovered
Euclid Euclid (; ; BC) was an ancient Greek mathematician active as a geometer and logician. Considered the "father of geometry", he is chiefly known for the '' Elements'' treatise, which established the foundations of geometry that largely domina ...
's formula for even
perfect number In number theory, a perfect number is a positive integer that is equal to the sum of its positive proper divisors, that is, divisors excluding the number itself. For instance, 6 has proper divisors 1, 2 and 3, and 1 + 2 + 3 = 6, so 6 is a perfec ...
s. She also learned
Hebrew Braille Hebrew Braille () is the braille alphabet for Hebrew. The International Hebrew Braille Code is widely used. It was devised in the 1930s and completed in 1944. It is based on international norms, with additional letters devised to accommodate diff ...
in preparation for her
bat mitzvah A ''bar mitzvah'' () or ''bat mitzvah'' () is a coming of age ritual in Judaism. According to Jewish law, before children reach a certain age, the parents are responsible for their child's actions. Once Jewish children reach that age, they a ...
service. At age 16 Navy was hired for her first job, as a
Dictaphone Dictaphone was an American company founded by Alexander Graham Bell that produced dictation machines. It is now a division of Nuance Communications, based in Burlington, Massachusetts. Although the name "Dictaphone" is a trademark, it has ...
typist in
New York City New York, often called New York City (NYC), is the most populous city in the United States, located at the southern tip of New York State on one of the world's largest natural harbors. The city comprises five boroughs, each coextensive w ...
. She took a class to learn to travel the
New York City Subway The New York City Subway is a rapid transit system in New York City serving the New York City boroughs, boroughs of Manhattan, Brooklyn, Queens, and the Bronx. It is owned by the government of New York City and leased to the New York City Tr ...
.


Education

Navy attended the
Massachusetts Institute of Technology The Massachusetts Institute of Technology (MIT) is a Private university, private research university in Cambridge, Massachusetts, United States. Established in 1861, MIT has played a significant role in the development of many areas of moder ...
1971–1975, majoring in mathematics. The only textbook she had in Braille was her calculus book. All her other books were obtained as
audiobook An audiobook (or a talking book) is a recording of a book or other work being read out loud. A reading of the complete text is described as "unabridged", while readings of shorter versions are abridgements. Spoken audio has been available in sch ...
s from Recording for the Blind. At MIT, her undergraduate advisor
James Munkres James Raymond Munkres (born ) is a Professor Emeritus of mathematics at MIT and the author of several texts in the area of topology, including ''Topology'' (an undergraduate-level text), ''Analysis on Manifolds'', ''Elements of Algebraic Topology' ...
introduced her to the subject of
topology Topology (from the Greek language, Greek words , and ) is the branch of mathematics concerned with the properties of a Mathematical object, geometric object that are preserved under Continuous function, continuous Deformation theory, deformat ...
. Upon her graduation with a bachelor's degree in mathematics in 1975, she received the AMITA Senior Academic Award from the Association of MIT Alumnae. Early in her undergraduate career, Navy met David Holladay, an
electrical engineering Electrical engineering is an engineering discipline concerned with the study, design, and application of equipment, devices, and systems that use electricity, electronics, and electromagnetism. It emerged as an identifiable occupation in the l ...
student. He looked up enough Braille to write her a note after their first meeting. They were married after graduation. Navy attended graduate school at the
University of Wisconsin–Madison The University of Wisconsin–Madison (University of Wisconsin, Wisconsin, UW, UW–Madison, or simply Madison) is a public land-grant research university in Madison, Wisconsin, United States. It was founded in 1848 when Wisconsin achieved st ...
, majoring in mathematics, with a minor in
computer science Computer science is the study of computation, information, and automation. Computer science spans Theoretical computer science, theoretical disciplines (such as algorithms, theory of computation, and information theory) to Applied science, ...
. During her graduate education, she used an Optacon device to read textbooks that were not available in Braille or as audiobooks. She received her M.A. in 1977, and her Ph.D. in 1981 under the supervision of topologist
Mary Ellen Rudin Mary Ellen Rudin (December 7, 1924 – March 18, 2013) was an American mathematician known for her work in set-theoretic topology. In 2013, Elsevier established the Mary Ellen Rudin Young Researcher Award, which is awarded annually to a young res ...
.


Mathematics

Navy's doctoral thesis, "Nonparacompactness in Para-Lindelöf Spaces", was important in the development of metrizability theory. The paper examines the properties of para-Lindelöf
topological space In mathematics, a topological space is, roughly speaking, a Geometry, geometrical space in which Closeness (mathematics), closeness is defined but cannot necessarily be measured by a numeric Distance (mathematics), distance. More specifically, a to ...
s, which are a generalization of both
Lindelöf space In mathematics, a Lindelöf space is a topological space in which every open cover has a countable subcover. The Lindelöf property is a weakening of the more commonly used notion of ''compactness'', which requires the existence of a ''finite'' sub ...
s and
paracompact space In mathematics, a paracompact space is a topological space in which every open cover has an open refinement that is locally finite. These spaces were introduced by . Every compact space is paracompact. Every paracompact Hausdorff space is normal ...
s. In a para-Lindelöf space, every
open cover In mathematics, and more particularly in set theory, a cover (or covering) of a set X is a family of subsets of X whose union is all of X. More formally, if C = \lbrace U_\alpha : \alpha \in A \rbrace is an indexed family of subsets U_\alpha\su ...
has a locally countable open refinement, that is, one such that each point of the space has a
neighborhood A neighbourhood (Commonwealth English) or neighborhood (American English) is a geographically localized community within a larger town, city, suburb or rural area, sometimes consisting of a single street and the buildings lining it. Neigh ...
that intersects only
countably many In mathematics, a set is countable if either it is finite or it can be made in one to one correspondence with the set of natural numbers. Equivalently, a set is ''countable'' if there exists an injective function from it into the natural numbers; ...
elements of the refinement. The spaces constructed by Navy are
counterexample A counterexample is any exception to a generalization. In logic a counterexample disproves the generalization, and does so rigorously in the fields of mathematics and philosophy. For example, the fact that "student John Smith is not lazy" is a c ...
s to the conjecture that all para-Lindelöf spaces are paracompact. Some of her spaces are even normal Moore spaces under suitable set-theoretic assumptions. Since every metrizable space is paracompact, these are counterexamples to the normal Moore space conjecture. Stephen Watson called Navy's construction "a rather general one that permitted quite a lot of latitude" and said, "No other way of getting para-Lindelöf is known. I don't think another way of getting para-Lindelöf is even possible—Navy's method looks quite
canonical The adjective canonical is applied in many contexts to mean 'according to the canon' the standard, rule or primary source that is accepted as authoritative for the body of knowledge or literature in that context. In mathematics, ''canonical exampl ...
to me." In 1983, William Fleissner modified one of her spaces to be a normal Moore space under the assumption of a particular covering property. Fleissner's examples finally resolved the normal Moore space conjecture by showing that it requires
large cardinal axiom In the mathematical field of set theory, a large cardinal property is a certain kind of property of transfinite cardinal numbers. Cardinals with such properties are, as the name suggests, generally very "large" (for example, bigger than the least ...
s.


Career

After graduate school, Navy took a position as a visiting
assistant professor Assistant professor is an academic rank just below the rank of an associate professor used in universities or colleges, mainly in the United States, Canada, Japan, and South Korea. Overview This position is generally taken after earning a doct ...
in the mathematics department of
Bucknell University Bucknell University is a Private college, private Liberal arts colleges in the United States, liberal-arts college in Lewisburg, Pennsylvania, United States. Founded in 1846 as the University at Lewisburg, it now consists of the College of Arts a ...
in 1981. While they were living in
Lewisburg, Pennsylvania Lewisburg is a borough in Union County, Pennsylvania, United States, south by southeast of Williamsport, Pennsylvania, Williamsport and north of Harrisburg, Pennsylvania, Harrisburg. The population was 5,158 as of the United States Census 202 ...
, Holladay started a software company called Raised Dot Computing, focused on computer Braille technology. He was inspired by Navy's need for Braille translation to help with her math teaching. She was an important consultant for the company, helping with software ideas and testing products in her university work. In December 1981, Raised Dot Computing released its first major product, BRAILLE-EDIT, a
word processor A word processor (WP) is a device or computer program that provides for input, editing, formatting, and output of text, often with some additional features. Early word processors were stand-alone devices dedicated to the function, but current word ...
and two-way
Braille translator A braille translator is a software program that translates electronic text (such as an MS-Word file) into braille and sends it to a braille peripheral, such as a braille embosser (which produces a hard copy of the newly created braille). Typically ...
program for the
Apple II Apple II ("apple Roman numerals, two", stylized as Apple ][) is a series of microcomputers manufactured by Apple Computer, Inc. from 1977 to 1993. The Apple II (original), original Apple II model, which gave the series its name, was designed ...
. Navy left the university in 1984 to work for the company, and the couple and the company moved back to Madison, Wisconsin in July 1984. Navy applied her computer skills to improving Raised Dot Computing's assistive software, producing enhanced versions of BRAILLE-EDIT and utility programs to handle textbook-format Braille and other special formats. In 1985 they added a line of
MS-DOS MS-DOS ( ; acronym for Microsoft Disk Operating System, also known as Microsoft DOS) is an operating system for x86-based personal computers mostly developed by Microsoft. Collectively, MS-DOS, its rebranding as IBM PC DOS, and a few op ...
software, culminating in the company's most successful product, MegaDots. Released in August 1992 and maintained until 2016, MegaDots provided Braille translation and word processing for the PC. Raised Dot Computing was transferred in September 1998 to a Wisconsin
nonprofit organization A nonprofit organization (NPO), also known as a nonbusiness entity, nonprofit institution, not-for-profit organization, or simply a nonprofit, is a non-governmental (private) legal entity organized and operated for a collective, public, or so ...
called Braille Planet, which was then bought out in August 1999 by Duxbury Systems. Navy and Holladay live in
Westford, Massachusetts Westford is a town in Middlesex County, Massachusetts, Middlesex County, Massachusetts, United States. The population was at 24,643 at the time of the 2020 United States census, 2020 Census. History Westford began as 'West Chelmsford,' a villag ...
, and still work at Duxbury. Navy is a member of the Braille Authority of North America, where she serves as a consultant to the Nemeth Code Technical Committee.


References


External links


David Holladay and Caryn Navy Oral History
{{DEFAULTSORT:Navy, Caryn Living people 1953 births 20th-century American mathematicians Blind scholars and academics Bucknell University faculty Jewish American scientists Massachusetts Institute of Technology School of Science alumni Scientists from Brooklyn American topologists University of Wisconsin–Madison College of Letters and Science alumni American women computer scientists 20th-century American women mathematicians Mathematicians from New York (state) American computer scientists 20th-century American women scientists 21st-century American Jews 21st-century American women scientists American scientists with disabilities American blind people