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Pay to get algebra research proposal

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I believe this is the right place to ask this, so I was wondering if anyone could give me advice on research at the undergraduate level. I was recently accepted into the McNair Scholars program.

It is a preparatory program for students who want to go on to graduate school. I am expected to submit a research topic proposal in the middle of the spring semester and study it during the summer with a click here. Since I am currently in the B.

Mathematics program and I want to get my Masters later. I figured that while my topic can be in any area, it should be in math since it is my main interest as well. I am a junior at the moment and taking: One-Dimensional Real Analysis, Intro to Numerical Methods, and Abstract Algebra. I have begun speaking with professors about their research also. I have not met any other students doing undergraduate math research and my current feeling is that many or all the problems in math are far beyond my ability to research them.

This may seem a little defeatist but it seems mathematics is progressively becoming more specialized. I know that there are many areas emerging in Applied mathematics but they seem to be using much higher mathematics as well. My current interest is Abstract Algebra and Game Theory and I have been considering if there are possibilities to apply the former to the latter.

So my questions are:. Should I search through Wikipedia and MathWorld bibliographies and or look in the library for research? Undergraduates can definitely perform research, or even benefit from going through a structured and well-administered "research experience".

I agree with Peter Shor about finding a mentor, or pay to get algebra research proposal mentors, as soon as possible. I agree with Ben Webster, specifically about speaking with professors in order to get a reasonable idea about the level of work that would be needed for you to perform useful research at an undergraduate level. A few other suggestions come to mind: you are at an institution that offers Masters and Ph.

This will familiarize you with the types of research papers being published currently, and make you aware of what "quanta" of research is enough to be a single research article. This will allow you to become more familiar with various subtopics within the topics of your interests, and to see what the current areas of interest are for local and visiting faculty members.

Colloquia are great as they often start by including a brief history of the topic by an expert in that field. I guarantee you will find here a number of web sites that can give you more information.

MIT has an undergraduate research opportunity program that many of their students take advantage of. Your institution may have professors who can speak with you and give you advice.

Mathematicians are human beings too, and subject to the foibles and inclinations and disinclinations that all human beings have. If you run into disgruntled and critical individuals, do not let that dissuade you from going on into mathematics or decrease your desires. Always be polite in speaking with professors and teachers. Sign up for write anthropology presentation newsletter and get our top new questions delivered to your inbox see an example.

As an undergraduate in the US with some research experience, let me offer my take on the situation. The goal is not for you to start pay to get algebra research proposal serious contributions to mathematics but to prepare you in several ways for a graduate experience. I did not prove a new result, but I learned a lot and thought it was a valuable experience. Click around on scholar. Many institutions, for example, have access to JSTOR or SpringerLink.

Or, find a mentor and ask them for a subject. This is hard to do without guidance. If you are seriously planning on graduate studies, I think you should expand your mathematical worldview as much as possible beforehand. The easiest way to do that, in my opinion, is to read math blogs. Math blogs are a valuable source of insight into mathematics and how mathematicians work, and these three are particularly interesting and well-written.

So on the one hand I have a very strong cultural bias against undergraduate research programs. I think it would be much better to give people problems to work on that have already been solved and so you know lead to good and interesting mathematics. By forcing people to work on "new" questions I think you are often forcing them to work on bad math. On the other hand, just because I think it would be better for people to do pay to get algebra research proposal sorts of programs, REU-style programs are what exist and they seem to work reasonably well for a lot of people.

There are quite a few undergrads who have done significant research in mathematics at your level. However, I think expecting to find a problem to work on yourself, rather than have a mentor suggest one or several to you, is absolutely unrealistic. Find a mentor who is willing to suggest a problem that you can tackle at your level, and hopefully give you ideas during the summer if you get stuck. Finding the right problems to work on is a major component of doing mathematical research, and sometimes the hardest one.

If you find it on your own rather than a mentor suggesting ityour mentor is likely pay to get algebra research proposal going to have any good ideas of how to attack it, it may end up a harder problem than is realistic for you to solve, and your mentor will be less motivated to help you.

So my advice is to start looking for mentors now. Your beliefs are somewhat unfounded; lots of people for example, me do research in various fora as undergrads, and in fact, the NSF is pushing undergrad research quite hard nowadays. Decide on the mentor, and then have them help you prepare the research proposal. As an undergraduate, trying to go out and find articles on your own without any direction is like searching for a needle in a haystack.

Based on this information, I think it is a complete waste of your time even to consider research seriously at this stage; you need several more years of study as a minimum.

Right now, you are still learning the basic language of mathematics. Even after my Ph. But do you really mean "research", i. Or do you mean a kind of "investigation" or "project" instead? These are not required or expected to contain anything new or original. This would be highly worthwhile -- but only for your personal interest and satisfaction. The question is, what do you expect to get out of it? As an analogy, imagine a ten-year-old, knowing nothing more website admission for essay masters custom ghostwriting how to add fractions, constantly harrassing you to teach them about calculus; my response unless I were in a very good mood that day would be: " go back to school and stop bothering me, for at least another 3 years!

I was just taking real analysis and abstract algebra at the time. However, I asked around the math department for research opportunities algebra and game theory yes, even my interests were similar!

I have been working on this topic with him since summer after my sophomore year. Last summer, I participated in an math REU with a handful of other students. Research in the REU was more independent, with the students doing pretty much all of the work while the mentors served pay to get algebra research proposal as helpful sounding boards than co-researchers.

Here are the differences I have found between the two research experiences: Since the problems I am working on are of direct interest to my professor as well, the topics I have to learn in order to even begin to approach the research tend to be more advanced, so I end pay to get algebra research proposal learning a lot of interesting theory my research has led me into combinatorial commutative algebra and local cohomology Again, since the professor is working on this pay to get algebra research proposal me, I spend a great deal of time talking with him, bouncing ideas back and forth, and this creates a very strong mentor-student relationship that I feel is very beneficial.

My mentor gives me advice not just on how to do math, but also on applying to graduate schools, writing good papers and abstracts, giving talks and presentations, etc. As the students were expected to work independently of the professor, I was thrown into the deep end basically.

What entailed were weeks of intensive reading and thinking. Although the mentor was there to help me make sure I was sane by letting me bounce ideas off him, Pay to get algebra research proposal was still responsible for all of the original thinking and problem solving.

The benefits of this are absurdly great: my problem solving skills have improved greatly and I find it far easier to follow lectures and do homework problems now.

In fact, math classes feel like nothing now that I have done some research on my own. We were free to work with other students, and I did collaborate with a few students, which I think is an invaluable experience. By talking to pay to get algebra research proposal students every day, I learned different ways of thinking about things, and different approaches to solving problems. Not to mention, I made a few very good friends with whom I remain in close contact and talk about math!

The point is to get the experience. Make sure they know that you are motivated and willing to learn and work hard. I think it is a very valuable experience to be exposed to real mathematical research, to know what it feels like to attack a problem that no one else has cracked yet.

I never considered myself particularly talented at mathematics, but over the years I have realized that being good at doing math is much more about practice experience rather than some "natural" talent.

I also highly recommend one of the NSF sponsored REUs, as the mentors are usually very skilled at picking problems that are at an appropriate level for undergraduate students. I hope this helped.

Since there was some debate what "research" should fathers definition cheap on founding essay, I add that here "research" means, or at least can mean [and not only rarely], something that in the end is published in well-established mathematical research journals. Cheap argumentative essay editor services for phd, there is a somewhat recently founded journal Involve specifically dedicated to.

I am confident that many US undergrads can produce a publishable work after focusing on a problem for years. In the place where I went in college Novosibirk, Russia, mid 80s students went through abstract algebra and real analysis in the first two years and the best of them them could do pay to get algebra research proposal work in the 3rd year.

Quite a few people were going to research seminars in th year, which they had to be doing since a master thesis with original research was expected at the end of 5th year. As it happens for many students this thesis was largely expository, but those who later become professional mathematicians usually got something publishable in the 5th year.

My own research in the 4th year went nowhere, but in the 5th year I proved something I am not ashamed of. I do not think the program was designed for mathematics students or the way mathematics research is done, even undergraduate mathematics research. Mathematics has few research groups, lab technicians, or bottle-washers. We usually do mathematics with people pay to get algebra research proposal. In other areas, you can learn to run some tests, and collect data, and analyze it with the help of an advisor.

You have a very high chance of accomplishing something, and meanwhile link can try to learn how your work fits into a larger picture. Most mathematical projects are more risky. It takes a lot of work as an advisor to create a project approachable by an above average mathematics major which click here a good chance to produce new results the student can write up.

Much of mathematics does not involve programming, but many projects designed for short-term results are programming exercises which may give a pay for my ecology book review picture of mathematics. This is not to say that undergraduate research is not worth the attempt.

It is one way to see that mathematics pay to get algebra research proposal alive and exciting, which may be hard to see from courses. I almost did something nontrivial when I was a student, and one undergraduate I supervised did some nice, publishable work and I was able to write a good letter of recommendation for him afterwards. However, students need support which may not be provided in a program which is not designed for mathematics majors.

You need an advisor who will put a lot of effort in even in choosing the topic beyond what is needed in other areas.

You should be aware that failing to solve the problem is often not a surprise, and that you may be severely handicapped with only one year pay to get algebra research proposal solid mathematics courses. I think you should look at alternatives such as mathematics Research Experiences for Undergraduates REUs or setting up a reading course in which the goal is not to produce new research, but to understand some recent result or paper, perhaps to create a more accessible exposition of that topic.

So you could look at that if you wanted to. More generally, there are plenty of problems like this, but they are not always easy to find. If you just start reading books and looking for things to research there is a danger that you will just be led along the best-travelled paths where enormous amounts of work have already been done.

So I would second the advice to ask several professors for suggestions before deciding on a topic. I have to disagree with the sentiment that undergraduate research that is, research done by students who are actually at the pay to get algebra research proposal level in their studies, like the OP is premature or somehow not worthwhile.

A month into my first abstract algebra class, I approached my professor to talk about research and what I should do to get to that level. Luckily for me, this professor went a step further and actually gave me a choice of things to work on. Now granted, I doubt this is the norm. My college did pay to get algebra research proposal have a graduate program, which made undergraduates more of the center of pay to get algebra research proposal and moreover this particular professor has a keen interest in fostering undergraduate research.

Those are realms of proven things generally speaking; I am sure there are exceptions, but the usual undergraduate topics tend to be fully developed in my experience. On the other hand, research is messy, with missteps and "mathematicians block" and the thrill of showing something new. I think the potential mathematician should see that as soon as possible! You gain a wealth of valuable insight and skills.

At least pay to get algebra research proposal me, I grew very comfortable with TeX, got a good deal of experience with presenting mathematics, and learned a lot about effectively explaining mathematics on paper as well. If you are lucky like I was, this initial collaboration can lead to more research, hence more time honing your intuition, research habits, and paper-writing skills.

On a personal note, I have to say I found that there was feedback between positive research and my courses: the more I learned, the more tools I had to attack problems obviously but the research aspect really improved my ability to see the solutions to exercises and grasp the larger picture of the courses I took.

Bottom line, for an aspiring mathematician there is nothing to lose and everything to gain, so you should definitely see what is out there and try to get involved with some research.

While director of graduate studies at NorthwesternI led a committee which valued undergraduate preparedness over research experience. So at least as far as Northwestern was concerned during that time frame, research especially research for which an undergrad may not be fully prepared did not help as much as you might have thought.

You might want to start looking for a mentor before you get too deeply involved in developing your project. Also, potential mentors might have some ideas for projects that would be a good fit for both you and ghostwriter university essay site popular united states mentor. Before you start approaching potential mentors, be sure to check with your McNair program to find out what the program expects of the mentor for example, the mentor might be expected to write a brief biweekly status report commenting on your progress, as well as validating that you have met milestones for your project.

You might want to develop your project proposal with your mentor and to start working together on a realistic set of milestones. The McNair program here tied a large chunk of the here stipend to meeting milestones.

Have there been other McNair scholars in math at your school pay to get algebra research proposal previous years? If there have been others, you might also get some tips about potential mentors. You might also check with your coursework advisor or your department head about which faculty members have mentored undergraduate research students. Did you submit letters of recommendation as part of your application?

If so, you might want to share your good news with your letter writers and ask their advice concerning potential mentors. This is an opportunity to get a taste of research and to learn about some new topics. You will probably be expected to write up what you learned at the end of the summer and present at a conference for McNair scholars.

I cannot speak from the point read more view of a Math major in US since I never was one. I completed my undergraduate studies in engineering and currently pursuing a Ph. In my opinion, applied mathematics though admittedly this quite a generic term would be more accessible to an undergraduate considering research than pure Mathematics. I ended up publishing two single author papers in respected journals while in my senior year.

I had started working on both these problems during my junior and both of them were picked by me. When I though I had a good insight into the problems, I pay to get algebra research proposal the faculty within my university for suggestions. I think it is safe to say that a lot of problems in applied mathematics require less sophisticated machinery than is used by most pure mathematicians.

Many of my engineering friends started working on their Ph. This contrasts with most pure math grad students I know who usually spend between 1 to 3 years of coursework before starting to work on a concrete research problem. So it seems that "undergraduate level coursework" would be sufficient in handling a good number of pay to get algebra research proposal math problems.

So if you are advanced undergraduate student with a good background in one such allied area, I think it might be worthwhile to explore this possibility. After all you can gain valuable experience doing research even if you do decide to pursue some other area of math in your graduate life.

There is a free textbook online and the blog of Noam Nisan a leader in the field is a good place to follow the latest developments.

By posting your answer, you agree to the privacy policy and terms of service. By subscribing, you agree to the privacy policy and terms of service. Sign up or log in to customize your list.

Start here for a quick overview of the site. Detailed answers to any questions you might have. Discuss the workings and policies of this site. Learn more about Stack Overflow the company. Learn more about hiring developers or posting ads with us. MathOverflow is a question and answer site for professional mathematicians. Join them; it only takes a minute:. Anybody can ask a question. The best answers are voted up and rise to the top. Thanks I hope someone can help to clarify and guide me.

This question should be community wiki in my opinion. All of the papers published in the journal Involve have a significant student contribution.

You can read the abstracts at their website involvemath. I am not saying this is the place to go to find a research topic or that you should attempt to find a topic on your own via the internet. But I know from experience that it can be fun and inspirational to see that your peers are researching and publishing in a variety of areas. Note to the advice-givers: there is also a user Metahominid at the math.

SE site who has asked a few questions about basic abstract algebra and real analysis. Reading over them gives some information far from definitive, of course about the student and his current level, which might result in more personalized advice. They are basic because I am in the class. I am not trying to give the impression I can do any significant research. There have been almost no math McNair students, and I suspect this because of the difficulty.

The point of the program from what I have been told so far is to look into a topic of interest, and pursue it. There is only the expectation to submit, and not that it be good or profound.

Mainly it is to prepare students for the research experience. The only other math McNair students have done math education, I would prefer not to. Thank you to everyone. Congratulations for making it into the program. Ans second, a point that has already been made but cannot be stressed enough, that a successful UG research experience requires a good mentorso find her or him first, and then worry about the topic.

A few other suggestions come to mind Most of the WORDS in most seminars would be literally meaningless! For a student who already seems discouraged about their ability, this is a recipe for crushing disappointment.

Find a problem you are interested in, open or not, and a professor at your school you feel you can talk to. Tom-Church, much like pre-med students who can volunteer pay to get algebra research proposal observe at hospitals without being able to participate or understand all of the details at the level of medical doctors, it is possible for students to attend research-level seminars to get an idea of the type of topics which are being discussed and are at the fore-front of research currently.

I, and many others, published as undergrads. I would encourage enthusiastic undergraduates to attend colloquia meant for general audiences of mathematiciansnot necessarily just to follow research popular reflective essay ghostwriters, but also to watch interactions between mathematicians.

Eavesdropping on mathematicians at tea can be interesting too. When I was an undergrad, we attended talks made for us, but the faculty would attend too and the questions at the end could get serious this is where I heard the term "gauge theory" for the first time.

We were also encouraged to attend regular seminars with no expectations that we would understand anythingbut, as one person said, for the music.

You get the music first, then you add in the lyrics. Did you find this question interesting? Please click the link pay to get algebra research proposal the confirmation email to activate your subscription.

I think this is a really nice sentiment. The blogs you pointed out are pay to get algebra research proposal, particularly for click career advice.

The "problem-solving" model is invidious, as is the "no-previous-experience-required" idea. Awareness not "originality", not fussiness over small, long-done details is perhaps the most important goal for a beginning grad student.

Bad math may mean problems which are open because they seem uninteresting, or not clearly connected to anything. Working on odd, tedious but open problems may allow a student to do original work, but might be worse than a course for learning or for stimulating interest.

Of course, I solved this issue during my REU experience by working on a problem that had been solved 40 years previously and was actually easy, when pay to get algebra research proposal correctlythough neither my pay to get algebra research proposal or I knew this.

Several points: "bad" math includes artificial problems, and problems posed as pay to get algebra research proposal they were mysteries, when they are not. Also, is it always about "problems"? This, too, is corruptive. And that surely many important things are pay to get algebra research proposal understood by hard-working, able peoplebut everyone has to get themselves caught up to the present.

PaulGarrett: I think some of your points are overstated. For instance, your colleague Vic Reiner has a good record of getting interesting research out of undergrads. Undergraduates can solve these concrete Pity if the faculty in the environment are less able to think new thoughts than the student You say "lots of hire for custom writers article for example, me do research in various fora as undergrads To my knowledge, almost no undergrads at my university or any subsequent places I went to as a graduate and teacher did or would have been capable of any proper research at all apart from small little "projects" and "investigations".

In my limited but recent experience, undergrad research is encouraged much more in the US than the UK, and thought of as more There are so many details necessary for getting good advice on these professional issues that "Go talk to someone who actually knows you" is essentially always the right advice.

Qiaochu: while I hope you are enjoying Cambridge, I suggest you try the sentence "the structure of the UK system means that students are all at fairly similar levels of mathematical maturity and knowledge as they progress" out on some esl article review writer websites uk and see what their reaction pay to get algebra research proposal ;- Let me just say that Cambridge is not a representative sample of UK tertiary maths education Are you suggesting that juniors are ready to do research?

I think it is possible to find a suitable project for a math-interested student at any level. For example, I would be happy to discuss calculus with any ten-year-old who was interested enough to learn about it; it would be an excuse to talk about graphs and rates of change and the concept of limits and the effect of minute changes.

One can explain a part of these ideas even to someone with little background. Similarly, one can find online websites biography cheap editing interesting suitable project for an undergraduate. The surreal numbers, for example, would be an attractive topic at the boundary of algebra and game theory. The down vote might have been because the same thoughts could have been conveyed in a much more polite manner just a guess.

OP said "research at the undergraduate level", which I take to mean investigations into subjects he finds attractive, not publishing in the Annals as an undergraduate.

Also, "their lecture courses should already provide you with all you need" - are books and papers all that pros need? One-on-one conversation is something we all benefit from. You can, of course, doubt whether that program will produce very high quality research; I think most of us do.

Frankly, students need to do something over the summer, and they may as well have a experience that shows them mathematics from another angle than just the classroom.

Here are the differences I have found between the two research experiences Since the problems I am working on are of direct interest to my professor as well, the topics I have to learn in order to even begin to approach the research tend to be more advanced, so I end up learning a lot of interesting theory pay to get algebra research proposal research has led me into combinatorial commutative algebra and local cohomology. Again, since the professor is working on this with me, I spend a great deal of time talking with him, bouncing ideas back and forth, and this creates a very strong mentor-student relationship that I feel is very beneficial.

The following website of the AMS contains numerous links to Research Experience for Undergraduates REU programs. If I understand correctly, these REU programs are funded by the NSF to offer undergraduate students not necessarily from the institution that is hosting the program an opportunity to do research, under supervison, over the cheap university ghostwriters sites online. I think the earlier one starts doing research the better, even if it is a research in plane geometry.

In many US colleges, mathematics majors spend a lot of their first two years taking classes outside mathematics. Douglas, I am fully aware that US system is different having taught here for many years. My points are a those who want to become mathmaticians should try research long before they pass comprehensive and oral exams in grad school b with proper mentoring math research is quite doable. One of my good friends in my math classes is from Russia.

From what he has told me and I have read both the secondary and post-secondary schooling emphasizes math more and introduces many things earlier. I wish that were the case here. I also wish the culture for chess were the same. Metahominid, the system in Russia is different and I cannot say it is better, but it does prove that pay to get algebra research proposal research by undergraduates is quite possible. Some in this thread seem to argue that a student is better off by delaying research till grad school, and I disagree.

There are two different issues being confounded throughout, for unfortunate semantic reasons. But if "research" means to do better than all existing professionals on an pay to get algebra research proposal meaningful and interesting to them Yes, thinking is pay to get algebra research proposal. After looking over the McNair website, I agree completely. I was especially concerned by something on the website that said that creation of a paper of "publishable quality" was a requirement of the program.

In my opinion this is not a realistic goal for undergrad summer research. If I were the OP, I would consider either doing the summer research in something else, or, if math is truly of interest, applying for an REU. I ran out of space in my last comment, but let me give one reason an REU is a better bet for summer link study than this McNair Program: in REUs there is a pay to get algebra research proposal cohort of other students to interact with and derive support from.

It is pretty much an REU. It is a TRIO program and I do have a cohort, although they are not in my field. I will be living with them in the summer as well as students from other universities. Metahominid: if the other students are not doing math, then they will be able to support you in some ways but not others -- for instance, you cannot ask them casual questions that you might not want to bother your mentor with.

I think an REU would be better for this. Yesterday I proved a small fact and asked a follow-up question in this answer Algebras over the little disks operad. You see a different facet of mathematics then you typically see in a course or textbook. I can see why research experience is not a good way to select grad students, and that good bases are fundamental.

But its usefulness is upstream: a serious research experience is a very good way for a student to figure out pay to get algebra research proposal they want to go to graduate school in the first place. In that respect, I think it plays a very educational role I wish all of our secondary-math majors did REU-like intensive research, if only to have teachers out there here an understanding of what professional math is like.

We need a different name for "undergraduate mathematics research" Confounding continue reading different things is not helpful. I was not implying that anyone who wishes to become a pure math researcher should consider applied mathematics research as an undergrad. This was specifically directed to the OP since the OP mentioned taking a class in numerical methods, an interest in game theory and having considered applied mathematics as a research option.

Besides, knowing some applied math pay to get algebra research proposal almost certainly bound to help even the most "pure" mathematician, since the origins of much of pay to get algebra research proposal best mathematics lie in very real problems. I spent two summers trying to learn quantum field theory under the ultimately mistaken impression I wanted to do physics, and I would not say the time was pay to get algebra research proposal. But more to the point, no undergrad should proceed with their life as though pay to get algebra research proposal was absolutely certain that they would end up in a particular career.

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