Nandita Jayaraj
17/10/2016 The Wire.in
http://thewire.in/73448/this-mathematician-doesnt-need-to-see-the-board-to-solve-problems/
Sushama Agarwal, who was born with a visual impairment didn’t let it
stop her from achieving her academic dream of becoming a
mathematician.
Sushama Agarwal. Credit: The Life of Science/Nandita Jayaraj
Sushama Agarwal. Credit: The Life of Science/Nandita Jayaraj

Who? Sushama Agarwal

What? Mathematician

Where? Ramanujan Institute for Advanced Study in Mathematics, Chennai

Squeezing past police vans, barricades and scattered groups of
demonstrators on the wide roads of Chepauk, I made my way to Madras
University’s math department. A large peaceful protest was underway.
This area in Chennai is no stranger to such demonstrations as many of
government institutions are located here, including one of the main
campuses of the 159-year-old University of Madras.

The University’s alumni include two Nobel Laureates, a former
President of India, as well as world famous mathematician Srinivasa
Ramanujan after whom its math department – where I was headed – is
named. The small and somewhat dilapidated building of the Ramanujan
Institute for Advanced Study in Mathematics (RIASM) is separate from
the majestic main campus. On the outside, its walls are filled with
the remains of political posters and graffiti. I walked in, past two
students and a few policemen and women who seemed to be taking a break
from patrolling duty.

When I entered her office, Sushama Agarwal greeted me with a cautious
smile. Born and brought up in Bhusawal, a town in Maharashtra, Agarwal
moved to Chennai for a Ph.D. in 1988. She has been a faculty member at
RIASM for almost two decades now. Her expertise is an abstract area of
mathematics called ‘functional analysis’.

An abstract idea with a lot of applications

“Functional analysis involves describing any process in the form of
mathematical functions”, said Sushama. “By doing this, it is possible
to model any experiment or system to predict its behaviour. Functional
analysis enables better decisions in a multitude of different domains
– economics, engineering and electronics.” Agarwal, however, is
focused on the mathematical theory of this applied science.

The excerpt below nicely illustrates how the need of functional analysis arose:

“Mathematicians observed that different problems from varied fields
often have related features and properties. This fact was used for an
effective unifying approach towards such problems, the unification
being obtained by the omission of unessential details. Hence the
advantage of an abstract approach is that it concentrates on the
essential facts, so that these facts become clearly visible and one’s
attention is not disturbed by unimportant details. Moreover, by
developing a box of tools in the abstract framework, one is equipped
to solve many different problems (that are really the same problem in
disguise!).

For example, while fishing for various different species of fish
(bass, sardines, perch, and so on), one notices that in each of these
different algorithms, the basic steps are the same: all one needs is a
fishing rod and some bait. Of course, what bait one uses, where and
when one fishes, depends on the particular species one wants to catch,
but underlying these minor details, the basic technique is the same.
So one can come up with an abstract algorithm for fishing, and
applying this general algorithm to the particular species at hand, one
gets an algorithm for catching that particular species. Such an
abstract approach also has the advantage that it helps us to tackle
unseen problems. For instance, if we are faced with a hitherto unknown
species of fish, all that one has to do in order to catch it is to
find out what it eats, and then by applying the general fishing
algorithm, one would also be able to catch this new species.
Early life and dealing with loss of vision

Managing an academic career is no walk in the park and it was even
less so for Agarwal who was born with an eye disorder that left her
blind by the time she was in college. I had forgotten to ask her the
name of the condition but I found from a profile online that it was
retinitis pigmentosa, a genetic disease where the rod and cone cells
of the retina die. As this happened, her eyes lost the ability to
convert light rays into nerve impulses that can be translated into
images by the brain. Reports say that retinitis pigmentosa is up to
ten times more prevalent in India than in the west; up to two lakh
Indians are affected by it. Agarwal’s vision began deteriorating while
at school. “I could read from books but not from the blackboard. By
the time I was doing my M.Sc., that also went,” she said.

Agarwal was always inclined towards subjects requiring logical
thinking. Maths was her favourite. It was the subject she could
understand most clearly, as physics and chemistry involved experiments
that were difficult to do with her visual impairment. “That’s why I
went on to study math.” She continued after a pause, “Even if I was
sighted I think I would have been interested in math only…”

She was completed her B.Sc. in Bhusawal, but beyond that the future
looked hazy. Her father had passed away just a few years before and as
her siblings were away, Agarwal was the only one to give her mother
company at home. There were not many options for higher studies and
for her to leave her hometown she would need someone to support her.
Due to these circumstances, Agarwal spent two years at home – “I was
bored doing nothing.”

A turning point and a supporter for life

Agarwal’s turning point came when a friend agreed to accompany her to
a different town to do her Masters. There, she met one of her
teachers, soon-to-be husband, P. Veeramani. “He came to know that I
had a problem when teachers wrote some things on the board without
speaking it out. At these times, continuity is broken and I wasn’t
able to understand.” Veeramani was mindful of this and began to take
good care to say all the lessons out loud so that Agarwal could keep
up with her classmates.

As a result, she found herself more interested in his classes. Her
dedication did not go unnoticed by Veeramani, who encouraged her. For
the first time, Agarwal began to believe that she could pursue a
doctorate in the subject that she was so fond of. Agarwal and
Veeramani decided to get married and in 1988 they moved to Chennai
where the latter had secured a faculty position at IIT. This worked
out really well for Agarwal too as she found her Ph.D. guide S.H.
Kulkarni at IIT-Madras.

In 1996, she completed her Ph.D., making her, according to one
newspaper, one of the first two blind students in IIT-M to do so. But
Agarwal is wary of special attention. “It’s not like I had some aim or
ambition. I just took one step at a time. At each step, I made a full
effort.

There are difficulties

Seldom does she accept invitations by associations to talk to other
blind students – “Firstly I’m shy,” she admits with a soft laugh.
There’s more to her reluctance than this, though. “It should not be
the case that they do math when they are not interested. Then it will
be problematic. I want the blind students to know there are
difficulties.”

“Often it happens that when I want to study, no one is around to read
to me. When I want to refer something, I may not be able to [on my
own]. But those things we have to overcome.” Clearly, having to depend
on others is not very enjoyable. “If I have to take a class, I have to
first prep. I need to ask a student to write on the board for me. Some
of them are not comfortable with this and it’s troublesome if the
writing is not coordinated with my speaking… It’s better to not be so
dependent, no?”

“Sometimes I feel that they [the blind students] can instead pursue
other things that require less dependence.”

One of Agarwal’s most difficult periods was after her Ph.D. when it
proved tough to get a job. “I applied to some colleges but didn’t get
called for interviews. Those days, it was difficult for everyone, but
it was clear that I wasn’t being considered because of my difficulty.”
But she got her break with University of Madras. “The then-Vice
Chancellor was a professor in Tamil literature and had a student who
was visually challenged. So he had the idea of how it can be managed.”
Agarwal was invited for an interview and her responses their queries
about manage correction, teaching, etc. were found to be satisfactory.

Were you not anxious at all, I asked her? She smiled, “There was a bit
of fear. But not about teaching – that is no problem – only about the
times I may be asked to evaluate other college papers. Those tasks are
not mandatory but I was afraid I’d have to do all that.” Agarwal
stresses that while visually challenged persons in academia like her
may require better accessibility, technology and a bit of extra care,
they learn quickly. “My concentration is more. Some say my memory is
good. Anything you teach me, I’ll listen very carefully and learn.”

Sushama uses her recorder so that she can listen to certain concepts,
theorems and their proofs over and over again. But besides that, she
is not overly reliant on technology, although she admits that
technological advancements are helpful for the visually impaired in
general. Though there is a Braille system for mathematics, Agarwal
does not use it. She didn’t find the need to as she was not born blind
and can recognise the regular mathematical symbols if someone feels it
out on her palm.

nemeth
An example of Nemeth Braille used to depict a math expression. Credit:
The Life of ScienceA helping hand

Throughout the interview, there was another person in the room
witnessing our conversation. I’d presumed that she was another faculty
member until Agarwal finally introduced her to me as her assistant
Kamali Natarajan. Natarajan has worked with her for nearly four years
now. “I go and pick her up in the morning, sit with her here and then
go back with her to her home before returning to mine,” Natarajan
said, in a mixture of Tamil and English. “Till I joined Ma’am, I was a
housewife.”

imag7159
Sushama’s assistant KamaliAgarwal told me that Natarajan did not
continue her education after passing tenth standard and getting
married early. After her children both married, she found herself with
a lot of free time. So when Natarajan saw a job notice in the
neighbourhood newsletter for a visually impaired maths professor’s
assistant, she contacted Agarwal. “Today, Madam is like a friend. We
share everything and if I don’t see her for two days I miss her,”
Natarajan said, making Agarwal smile widely. “And of course, the
salary I get is very helpful!”

So what is it like for a non-academic person to spend her days in a
building full of mathematicians? Natarajan’s eyes widened in mock
horror. “Math is very difficult, very difficult. If you look at the
research scholars, you’ll see they are always serious. In other
colleges, students talk about films, politics. But these students,
nothing, only math math math.” I noticed Agarwal trying her best to
restrain her amusement. “I feel like taking them to the waterfalls –
you know – to cool their head. So serious they are always… anyway,
they are great,” Natarajan added, dramatically. By this time Agarwal
was chuckling at her assistant’s comments.

As I finished my tea and got ready to leave, Agarwal was thoughtful.
“If I had been part of some association [of the visually impaired]
right from the beginning, I would have also participated in all these
activities – they go for trekking and walk very normally on the road,
you know? I don’t go walking alone. I always take someone with me. But
I just need a touch. Then I’ll follow her or walk side-by-side.”

Teaching at RIASM

The Ramanujan Institute teaches math in a way very few other colleges
do, according to Agarwal. “We emphasise on the concepts rather than
giving notes to study. In other places, they don’t do this because
they want 100% results in their class. Because of this students may
find it difficult, but only in their first semester.”

When she was a student herself, there were very few women taking up
math. Today, 3/4th of her M.Sc. class comprises ladies. “Maybe this is
because boys have more pressure to take up jobs [after graduation]. At
least five or six of each batch of around 30 students go on to do
their Ph.Ds,” said Agarwal.

-- 
Avinash Shahi
Doctoral student at Centre for Law and Governance JNU


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