Solvitur Ambulando

An algebraist, a finitist, and a determinist walk into a statistics classroom. They are all the same person and worse: the teacher, so the joke is on the students.

For reasons still partly obscure to me, my department has given me the opportunity to teach an introductory probability and statistics course for a second time. People often speak of impostor syndrome in mathematics, but this is something more like double agency. I feel like an embedded resistance fighter, my mind at intervals crafting subtle acts of sabotage, constantly wary that I might be found out.

I won’t deny the usefulness of adopting a probabilistic perspective, but its utility is also my chief complaint. Continue reading

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Interviewing New International Math PhD Students

En route to my first year of graduate school, I packed up the three good pillows I have, moved a couple hundred miles, and planted myself in an apartment I had only seen in a grainy Face Time video. Hopefully in five or six years, I thought, someone will begrudgingly call me Dr. Zell.

Then, the start of graduate school felt something like:

Welcome! Everyone here is looking forward to seeing you succeed. Now, let’s not waste time. It is graduate school after all. Undergraduates waste time, but not us thrifty graduates! Are you ready to teach? Not quite? Well, up and at ’em anyway! Oh, and expect to be challenged in all your classes. Bon voyage!

Even though the transition from Virginia to Michigan felt gigantic to me, I quickly realized my immense privilege as I befriended peers who only recently arrived in America. It’s hard to compare the international students at Michigan, because they are so obviously different. At the same time, they do agree on a handful of things: it’s confusing (and sometimes intimidating) applying to graduate school in America. Getting a visa is annoying. Family should be closer than they are. And of course, American food is way too sweet.

While the transition to graduate school may be confusing, and at times stressful, the international students at Michigan prove that graduate school is ultimately worthwhile. In order to share a little bit of the international student experience, I found some interview victims.

Anyway! Here’s what they had to say (split into two parts):

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Dear first year, this isn’t something you can plan for (Part 2)

For Part 1 of “Dear first year, this isn’t something you can plan for,” click here.

We like to think that our life stories have happy endings, perhaps that we can carefully partition our lives into fourths of each year, and successfully say, “Well, after I learned this, my life was great!” But anyone who has lived life — so, I suppose, anyone reading this — knows that that is not what life is like. Life is a continuous (not discrete!) story with continually changing hurdles. The gist of this series called “Dear first year, this isn’t something you can plan for,” is that if anything has, grad school has shown me how much truth the quote “the best-laid plans of mice and men often go awry” holds. Every quarter of my first year had some unexpected obstacle or victory and sometimes both, and sometimes the victory turned into an obstacle. The following is the story of my second quarter as a math Ph.D. student at Oregon State University, along with some thoughts that stay with me from that time.

The day I turned in my Partial Differential Equations final, I left my first term of grad school to visit my analysis mentor at my alma mater, Central Washington University. I returned to Corvallis in mid-December. Naively, I hoped that I’d come back and feel “normal.”

It has been nearly fourteen months since I started graduate school, and I am still learning that normalcy doesn’t exist.

I thought “back to normal” meant returning to my thinking processes and mathematical maturity level of my undergraduate days. I thought it meant returning to the childlike joy I found in the concepts of analysis. Instead, I came back to Corvallis to find the bitterness of the last three months still chipping away at my heart. I still felt only frustration and oppression when I tried to study analysis. I was disgusted with myself and my inability to focus and work long hours.

I was meant to take my first crack at qualifying exams in April. I had started studying in September, before I was overcome with depression and barely had the energy or time to complete my homework assignments, let alone anything extra. Because qualifying exams were coming up all too soon, I should have spent December deep in the grip of linear algebra and real analysis — but I was angry with mathematics and the hand life had dealt me, and I threw in the towel on studying, telling myself I needed to recuperate from fall quarter.

Classes started again in January. The early days of winter quarter were highly reminiscent of some of my better days in November — going to bed pretty sure I was going to tell the graduate chair I was dropping out in the morning, knowing I wasn’t good enough for grad school, and wondering why the hell I was here in the first place.

In December, I spent a week strictly Paleo. I’ve done bouts of the Paleo/Whole30 diet before, and found it to be tremendously helpful in controlling my anxiety and depression. The problem is that Paleo can be really difficult to maintain long-term and take a lot of prep time — and time isn’t something one has much of in grad school. I wanted to go Paleo completely, but it didn’t seem feasible, especially when one of the major stressors in my life was a shallow, manipulative roommate who I avoided as much as possible. I spent about fifteen hours on campus daily to prevent myself from crossing paths with her. (It can be surprising how much those little irritations and anxiety-inducing moments wreak havoc on your well-being.) So instead I took a step I didn’t think I’d ever be willing to take: I went to the student health clinic and was prescribed anti-depressants in February.

The effect was almost immediate. The change wasn’t enormous, but I slowly started to find more joy in my work again — until the week I found out I failed my PDE II midterm (which is still my favorite of all the classes I’ve had at Oregon State — any other distribution and Sobolev space fans out there?) . . . and my real analysis midterm.

Yet more crushing than the fact that I failed my PDE II midterm was the fact that my PDE professor was the woman I wanted to be my Ph.D. advisor. In late November, I had walked into her office and asked her a question on my PDE homework. I walked out of her office with a sense that I understood her — and that I would do anything to be her student. In January, I asked her only other Ph.D. student about working with her, and subsequently set up a meeting with her to chat about her work and let her know about my interest in being her student. Barely a week later, I found out that I failed my PDE midterm.

I tried to talk with my professors about my exams and figure out how to put in more hours of work. I started forcing myself to be more disciplined (getting up at 7 a.m. and basically working all the way till 11 p.m. if I could muster it), but couldn’t keep up sixteen-hour days for very long; I was too mentally and physically exhausted, and having chronic insomnia didn’t help matters any. Like many have, I found that the more I forced myself to try to be perfect, the more poorly I managed to do a lot of things, but my inability to do everything well only discouraged me more. Some days I couldn’t get out of bed. I started skipping a lot of classes, especially real analysis. I had very little hope that I could understand enough to do well on finals.

But if nothing else, I had to really try in PDE, because I knew I ultimately wanted to work in analysis, and I knew I wanted to work with my PDE professor. So on Friday, March 1, after my PDE class ended at 1:50, I asked her a question about the proof of the Mean-Value Property, and then blurted out, “I really want to work with you but I was afraid my exam score would affect your decision.” She looked at me and said, “No, it was one exam score.”

I reread the above couple of paragraphs, and think that subconsciously, I must have been astonished that anything good would happen after I had decided I was a failure. But yes, it is true that even if you are not perfect, people will still accept you. I have heard all too many horror stories of advisors who lack patience, empathy, and tact, and mine has exhibited only kindness and understanding. “She has to be the calmest person in the department,” said my graduate chair at one point to me — me, probably the most consistently high-stress person in the department.

You might call that irony, or coincidence, or a miracle — and no, I didn’t end that quarter with the best grades in my life, and no, life still was not perfect after that. I don’t think I did very well on my PDE final either. But I did find an exceptional advisor, successfully start medication, and make some amazing new friendships — and I did start walking out of the intensity of the flames of mental anguish into a valley where the smoke had begun to clear. It won’t ever clear completely, I’m afraid, and such is life — but I wouldn’t trade the refinement of this fire for a valley with less putrid air.

I said in the first part of this series that I served on a panel for incoming first-year grad students and that I shared with them that I was so happy I would never have to survive parts of my first year again. I also told them that I am living proof that one can make it through. You might have failed an exam or two (or many). You might feel you have disappointed people you respect. You might be overwhelmed by how much life has thrown at you. You might be exhausted and trying to be brave. But just because you don’t meet a numerical requirement on an exam doesn’t make you a failure — and I know that sounds trite, but it really is true. I have failed more exams than I can remember in grad school, and guess what? I passed my real analysis qual in September — and that’s the exam that actually matters! You are probably harder on yourself than anyone around you is. If you are overwhelmed with how hard life is, know that there are others out there who know what that feels like — and I’m one of them. It might not help you feel better in the moment, but it does mean you’re not alone. And I don’t know what you think, but living as a grad student is the most courageous thing I’ve ever done. Get some sleep and if no one else tells you this today, you’re one of the bravest people around. Oh: and when you’re struggling, don’t force yourself to be better. As my dear friend and office-mate said to me once as I agonized over my impending thesis/reading meeting, “You are enough as yourself.”

 

 

Disclaimer: The opinions expressed on this blog are the views of the writer(s) and do not necessarily reflect the views and opinions of the American Mathematical Society.

Comments Guidelines: The AMS encourages your comments, and hopes you will join the discussions. We review comments before they are posted, and those that are offensive, abusive, off-topic or promoting a commercial product, person or website will not be posted. Expressing disagreement is fine, but mutual respect is required.

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Have questions about applying to grad school? Check out the Grad School Panel on reddit.com/r/math!

Hi all,

This week I’m here to tell you about an unlikely mathematical community that you might be interested in, particularly if you’re interested in applying to grad school, or if you’re a grad student wondering about life after grad school.

Perhaps surprisingly, the community that I’m talking about is /r/math, a subreddit on reddit.com. And the reason that you might be interested is because /r/math will be holding a Graduate School Panel starting from October 21st, 12pm Eastern.

At this panel, graduate student volunteers will be answering your questions and sharing their perspectives and opinions about graduate school, the application process, and beyond. There will also be a handful of panelists that can speak to the graduate school process outside of the US.  In addition, there will also be postdocs, professors, and graduates in industry that can speak to what happens after you earn your degree.  Furthermore, there are also panelists that have taken non-standard paths to math grad school, that are in grad school in related fields (such as computer science), or have taken unique opportunities in grad school!

Of course, this is a panel comprised mostly of graduate student volunteers, and don’t have much insight into the admissions process. However, this is a valuable resource to ask questions and chat with current grad students in a variety of schools and subject areas.

So again, the panel will run for about two weeks starting from October 21st, 12pm Eastern. It’s also bi-annual, so keep an eye out for the panel again in March, when US grad schools have begun to send out admissions decisions.

Disclosure: I’m a moderator of /r/math (which is even less interesting than it sounds), and I am running the panel.

For those of you not familiar with reddit, it is a link aggregator website perhaps best known for posting memes and gifs. Notably, once you’ve created an account, you can also discuss and comment on specific posts.One main feature is that instead of looking at all of reddit at once, you can join smaller communities (known as subreddits), and look at and discuss content related to that community (such as /r/math).

In particular, on /r/math there will often be links and discussions about math news articles, educational videos, recent papers, etc. Some of the other content on /r/math include weekly discussions such as the Simple Questions discussion thread, a Career and Education Q&A thread, and a What Are You Working On? thread for discussing the mathematics that you have been thinking about.

Another thread to watch out for is an upcoming AMA thread with Brendan Fong and David Spivak on October 24th, 2PM EST, where you can ask questions to these two mathematicians.

So if you feel like having an excuse to perform some mathematical procrastination, join in the discussion over on /r/math!

 

Disclaimer: The opinions expressed on this blog are the views of the writer(s) and do not necessarily reflect the views and opinions of the American Mathematical Society.

Comments Guidelines: The AMS encourages your comments, and hopes you will join the discussions. We review comments before they are posted, and those that are offensive, abusive, off-topic or promoting a commercial product, person or website will not be posted. Expressing disagreement is fine, but mutual respect is required.

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Dear first year, this isn’t something you can plan for (Part 1)

I still remember how hopeful I was when I started. I had come off a high-performance undergraduate career, with a rockin’ CV full of contributed talks (including one at Joint Mathematics Meetings and the Nebraska Conference for Undergraduate Women in Mathematics), scholarships, and excellent recommendations from faculty who believed strongly in my mathematical ability. And not just that: I entered Oregon State University’s graduate program as one of the most highly recruited students in the new cohort. I had received the prestigious Provost’s Distinguished Graduate Scholarship, meant to bring students into the program who would elevate Oregon State Mathematics’ reputation as a school of excellence.

I had, as my friend and fellow grad student Sarah Hagen says, “been burdened with the love of analysis” quite early. I found calculus utterly beautiful when I took the first three courses in the sequence. When I transferred from Columbia Gorge Community College to Central Washington University in fall 2016, I stumbled upon some seniors in the math major and asked what they were working on. “Analysis,” they said. “It’s basically like proving everything you learn in calculus.” I knew instantly that analysis and I would share a special connection. When I finished all the analysis Central offered, I spent a term independently studying Walter Rudin’s Principles of Mathematical Analysis. Baby Rudin became my all-time favorite mathematics textbook, and I cherish the memories I have of learning out of that text.

When I came to Oregon State, my identity was quite wrapped up in my adoration of analysis. Usually an introduction of myself, especially to others in the department, was quickly followed by how excited I was about learning more analysis, measure theory, and probability. I came to Oregon State expecting to work under one of the professors studying PDE theory.

So, yes, I was excited about embarking on the next step in my mathematical journey (with analysis in tow — for some reason I have always given the subject of analysis an almost human personality). I should also say that I was warned, repeatedly, about how soul-crushing graduate school can be. I was told that graduate school offered one of the highest rates of depression and suicide of any job. I had already deeply struggled to get through my undergraduate career and manage my stress while taking 17-18 credits of upper-division math every quarter. Certainly, I thought, graduate school can’t be as bad as my last year of undergrad was, when my grandmother passed away in the middle of the school year and grief hit me full force as I attempted to learn abstract algebra, analysis, topology, and numerical analysis at the same time? After all, I had my own office, I was surrounded by other people excited to study math, I was teaching, I was solving problems  — grad school sounded like heaven!

But somewhat unexpectedly, I found that I missed the community so carefully created by my wonderful professors, mentors, and friends. Many of my good friends were still students at Central, so I still got firsthand information from them about how things were going — and while this seemed a blessing, it was a curse in disguise. My heart started to feel weighed down, and I remember thinking that I felt like I was grieving all over again. One Sunday in early October, I left my apartment in Southtown Corvallis and started crying uncontrollably — and I couldn’t stop.

It wasn’t just for a few hours, either. I couldn’t stop crying for two weeks. And I don’t mean sniffling crying — I mean tears streaming down my face, wads of tissues in the garbage every day. My eyes were always red and burning from the constant tears. I had no idea the human body could produce that many tears. The weight of my unhappiness made it almost impossible to get work done, no matter how long I stayed at my office every day, how early I got up to start working, and how much I tried to stay on top of deadlines. For someone who had been used to being at the top of every class, acing all my homework, and being praised for my careful mathematical mind, the change was simultaneously shocking and frustrating.

As the term progressed, my frustration mounted. The mathematical maturity I felt that I had developed my last year of working on my bachelor’s degree seemed to have evaporated. I was struggling to build friendships and relationships with my cohort of grad students. In undergrad, my professors had been welcoming of me coming into their office at any time during the work day to ask questions. Now, I found it monstrously intimidating to go to a professor’s office for office hours. I was convinced I needed to know everything, and yet I simultaneously felt that I knew absolutely nothing. In a matter of weeks, I went from being the most highly-recruited member of the cohort to being certain I was stupid and incapable — and I convinced myself that my professors thought the same thing. (For the record, I have only known every single professor in OSU math to be caring and generous. Still, facts of life were passed over by my fear of not being good enough.) I thought I had suffered from impostor syndrome in undergrad, I thought that I had experience dealing with my (sometimes poor) mental health, I thought I knew how to study math. Now I felt like someone had ripped a rug out from under me and catapulted me onto a concrete floor.

My mental health eventually became so poor that my mom told me that I had to contact a local counselor. I was informally diagnosed with clinical depression in November. By this point, I had already seriously considered dropping out of the graduate program multiple times. For someone who expected to come into grad school and at least have a chance at acing everything and still being the best student in the room, my apparent inability to keep up with deadlines and get 100%s on exams crushed me.

No, this was not something I ever saw happening to me. And, dear first year, unfortunately, you can plan all you want and learn all the mathematics you can and strive to do well in all your classes — and you can still not be prepared for the biggest enemies in graduate school: Self-Doubt and Self-Criticism.

A few days ago, I was on a panel for incoming first-years about life as a graduate teaching assistant and graduate student at Oregon State. I reminisced with them that my first three months as a math grad student were the most difficult three months of my life. I told them that I was incredibly grateful that my first quarter of grad school would never ever happen again. But I also told them that I am living proof that one can make it through extreme difficulty, and come out triumphant on the other side. (More about that in the next two parts of this series.)

And I want to tell you that, too. I share an admittedly vulnerable story because I have been blessed by others’ vulnerability in the past, and I hope that you will be as well. If you are struggling, you can make it through. When I think about last year, I’m not quite sure how I lasted in grad school that long, when I woke up in tears and went to bed in tears. I do know that if I didn’t have an incredibly tight-knit support system in my family, mentors from Central, and friends, I may not have had the courage to return to Oregon State in January.

If you are struggling, know that you are not alone. Graduate school is tough. What is that quote from The Help? “You are smart, you are kind, you are important.” Regardless of your performance in graduate school, you are still a wonderful person, and you still have immeasurable worth. It may feel like mathematics and your accomplishments define you. They do not. You are smart. You are strong. You are important — and grad school does not have the power over you to change that!

I will end by sharing a meme I found from the Facebook page “grad school memes with relatable themes” (check it out if you’re on Facebook; I always get a good laugh about their posts, and I emotionally relate to nearly all of them):No photo description available.

 

 

 

Disclaimer: The opinions expressed on this blog are the views of the writer(s) and do not necessarily reflect the views and opinions of the American Mathematical Society.

Comments Guidelines: The AMS encourages your comments, and hopes you will join the discussions. We review comments before they are posted, and those that are offensive, abusive, off-topic or promoting a commercial product, person or website will not be posted. Expressing disagreement is fine, but mutual respect is required.

Posted in Advice, Grad School, Grad student life, Starting Grad Schol | Leave a comment