*This is an email interview with Annulus, a magazine taken out by Acuity, the mathematics society run by mathematics students of Hindu College, Delhi University. Most of it was published in the magazine. I thought it was meant as a tribute to Saroj Bala Malik, who taught me 4 classes when I attended Hindu, from 1984-87, but they edited out the question about her in the final article. *

**Tell us about your time
at Hindu College. What made you pursue Mathematics here?**

I wanted to become a mathematician. I joined Hindu college
because it was the best college where I managed to get admission to study Math.
It was the best! And I had the most wonderful time.

Hindu was a most liberal place, where a lot of leeway and
freedom was given to students to figure out their own approach to life. Teachers
did not impose upon us. The students came from all kinds of economic and social
backgrounds, which was great for me, because I had gone to a somewhat elitist
school. The cafeteria those days was really a park in front of the hostel, with
a few chairs, but plenty of sunshine. A lot of people (even from other
colleges) just hung around. A lot of time was spent in ‘CafĂ© Hons’.

The key highlights was the annual ‘trip’ which was 4-5 days
of concentrated fun, followed by discussions of what all happened there for the
rest of the year. Plus, of course, Mecca. One year in Mecca, we took out a
daily magazine called ‘The Quark that Quakes’, consisting of mathematical puzzles,
limericks and bad jokes. It was a big hit.

**What career option were
you looking for when you decided to take up Mathematics? **

I wanted to be a research mathematician. I knew that all that
I had studied in school was essentially stuff known to Newton and Archimedes
many centuries ago. I wanted to reach the frontiers, whatever that meant. I had
no idea what it takes to discover and prove your own theorem. I just thought it
would be cool to have one I can call my own!

Questions on whether I could become rich, or even survive
financially, didn’t really enter my head. Perhaps the practice—prevalent in
Hindu—of treating our friends’ money and possessions as our own, contributed to
this attitude.

**How hard was it to make
it to IIT Delhi back then? Any tips that you would like to share with the
students?**

I don’t recall having studied at all for the IIT entrance. The
exam was so tricky that it was fair game for anyone. About 250 students took
the test, and 20 were selected. My rank was 2, so I suppose I did quite well! The
test required understanding the basic ideas/definitions rather than extensive
knowledge of the subject. In fact, I recall that one of the questions was to
state and prove your favorite theorem, so they were looking to see if you liked
math and what you liked in it.

An idea that works for me is to find one book that gives a
historical overview of a particular subject. After going through it in a week
or two, I am able to understand what’s happening for the entire semester. There
are books like this for algebra, analysis, complex analysis, number theory—you just
have to find one that you like.

If you do this, then you can begin to appreciate the beauty
of the subject, and are able to understand why you are doing what you are
doing. The subject becomes easy, and you will be able to answer the kind of
questions that examiners are looking for. You will also be able to slog through the
difficult theorems and proofs, because you have a sense of where you are going.

**Any Dr. Saroj Bala
Malik memories?**

SBM has been one of the most influential teachers in my life.
In our first class, she asked questions and I was one of the two or three
students who answered her. The same day I met her at the bus stop, and she
recognized me. I told her I want to do research in mathematics. And from that
day on, she took it upon herself to help me in whichever way she can.

Our entire batch was her favorite. It wasn’t that she was all
mushy or soft on us. She practiced what is called ‘tough love’. She worked hard
at her teaching and demanded we work hard at our learning. She asked a lot of
questions. She praised us when we could answer, and, well, took our trip, when we
couldn’t. She went out of her way to fund our activities, and covered for us in
case we got into trouble with other faculty members!

However, there were a few rocky moments too. I used to
organize a weekly puzzle contest. Every week, I would post a new puzzle, along
with the answer of the previous puzzle, and the names of those who got it right.
All went well for a few weeks. Until one day, when SBM got (in my view) the
wrong answer! Her view was that the question was wrongly worded. She demanded
that I correct my mistake. We fought long and hard. It wasn’t pretty—but it was
interesting, and kind of fun!

*The question above was not included in the printed interview.*

**Tell us about your time
at IIT Delhi.**

I spent only a year in IIT Delhi. IIT was mostly about very
brilliant lecturers and a fun hostel life. But I did not learn much there,
because I did not work very hard. Most of the time I was busy applying abroad.
I got a scholarship, and left without finishing my MSc. But there was one important
aspect of my year at IIT. I met the person whom I eventually married. So
all-in-all it turned out to be a good year!

**What was the experience
at Ohio State University like? **

Ohio State was truly the best educational experience
possible. There were many famous mathematicians who taught me, among the best
people in their area. My Ph.D. advisor was Steve Milne, who had given the first
combinatorial proof of the Rogers-Ramanujan identities, thereby solving a
long-standing problem. My story with him was similar to SBMs. He gave a talk
about his area, and showed how he had extended a famous result of Ramanujan.
Right after his talk I went and told him I wanted to work with him for my Ph.D.

The biggest truth I learnt at Ohio State was that mathematics
is learnt by doing mathematics. Your professor can be the most brilliant lecturer
in the world (or not), but you will learn only if you do all the problems of
the textbook on your own.

In our department, there were people from all over the world;
plus, I interacted with hundreds of American students as their Teaching
Assistant. Living in the US, with enough money to have some fun, and hanging
out with many people of many different countries—I think that was the most
amazing and enjoyable part of doing a Ph.D. in the US.

**From Modern School to
Ohio State University, how has Mathematics shaped your life? **

When I was in class 11, I took a Math Olympiad exam, where I
happened to crack a problem I had never seen before. And I felt wonderful! I
had got an exhilarating high, and it happened because I got a creative idea in
mathematics. I figured that I want to have this feeling again and again, for
the rest of my life. So I decided to become a mathematician.

From Modern to Hindu and IIT, and on to Ohio State, I stayed
with this for nearly 15 years.

But I forgot about this after returning to India after my
Ph.D. After a year in ISI, Delhi, I took up a job in the industry and thought I
cannot pursue math any more. This went on for a few years, and I was totally
miserable, and didn’t know why. Then one fine day I got a project to write a
math book, and got reminded about this exhilarating feeling again!

That is when I realized that math is what keeps me happy. Now,
despite a full time job, I look to do something mathematical, whether it is
research, teaching, writing books, articles or papers, or even reading math books. The thrill that comes from solving a math
problem—especially a tough math problem—has never gone away. That is what keeps
me happy.

**The generation of today
is somewhat reluctant to pursue Mathematics as a subject. What will be your
advice to the students who are looking to or currently pursuing Mathematics?**

My advice would be to do as much as you can handle, and then
a little more. If you cannot do math just for the love of it, then consider the
following 5 things that a math education does:

#1: **It teaches you to
question. **

Why prove theorems, when they have been proved a million times
before? Because, as our teachers tell us, you need to see for yourself that the
theorem is true. This is so unlike the real world, where often people tend to
prove things to you by intimidation, or by asserting their authority. However,
unless you question things, you will not get creative ideas. And in math, we
question everything!

#2: **It teaches you to
reason.**

We learn to apply logic to prove theorems. In the real world,
people frequently confuse a statement with its converse, and don’t believe that
if ‘A or B’ is true, then both ‘A and B’ could also be true! Your capability to
reason correctly and think clearly will quickly get you noticed.

#3: **It teaches you to
communicate clearly. **

The practice of understanding mathematical definitions
and proving theorems teaches us that words have a precise meaning. Being able
to communicate clearly is perhaps the most important requirement for success.

#4: **It teaches you to think
abstractly.**

As you grow in responsibility in an organization, you need to
deal with a large number of facts. However, the time to deal with them is
finite. At this time the ability to think abstractly becomes hugely important.
Abstraction is a key requirement of any leadership position whether it is in
academia, industry or the government!

#5. **It gives you
confidence.**

If you have done well in mathematics, or even reasonably well,
you should take a huge amount of confidence from this. For someone who is a
master of epsilon-delta proofs, point-set topology, or abstract algebra, most
management or technical problems at the workplace are a piece of cake!

In short, a good mathematical education gives you an unfair
advantage in the real world. So if you can handle it, go for it!