EARLY CAREER: Moving Ahead in Your Research
EARLY CAREER: Moving Ahead in Your Research
复制标题
早期职业生涯：在研究中取得进步
DOI：
10.1090/noti1791
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发表时间：
2019
影响因子：
--
通讯作者：
Eischen, E. E.
中科院分区：
文献类型：
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作者：
Eischen, E. E.
做研究可能是令人兴奋的，但发现问题并弄清楚当你陷入困境时该怎么做可能会让人生畏。要制定研究计划并克服相关挑战，重要的是要确定适合您的研究方法。这里有一些我最喜欢的。1.日报从我开始写论文到获得终身教职，写数学日记一直是我最有用的职业习惯。1你可以用日记来记录目标和你的进展，记录重要的数学对话的细节，跟踪花在不同研究任务上的时间，或者确定新方法（如下面建议的方法）如何影响你的研究。保留一个问题列表。在过去的12年里，我列出了150多个潜在的研究问题。即使百分之九十是有缺陷的，那也只剩下十五个好的。列一个清单可以让你远离无事可做的焦虑，也可以提供一个低风险的发现问题的练习。我们在学生时代培养的技能对发现新问题很有用。例如，我们都被训练去问当我们改变定理中的假设时会发生什么，研究一种新技术能让我们进一步扩展结果，并根据我们计算过的例子做出解释。如果
Doing research can be exhilarating, but finding problems and figuring out what to do when you get stuck can feel daunting. To develop a research program and overcome associated challenges, it is important to identify approaches to research that work for you. Here are some of my favorites. 1. Journal. Keeping a math journal has been my most helpful professional habit, from shortly before I began working on my dissertation through being awarded tenure. 1 You can use a journal to log goals and your progress toward them, record details of important mathematical conversations, track hours spent on different research tasks, or determine how new approaches—such as those suggested below—impact your research.2. Keep a problem list. During the past twelve years, I have generated a list of over 150 potential research problems. Even if ninety percent are flawed, that leaves fifteen good ones. Keeping such a list can insulate you from the anxiety of having nothing to work on. It also provides a low-stakes exercise in finding problems. The skills we developed as students can be useful for finding new problems. For example, we were all trained to ask what happens when we change hypotheses in a theorem, investigate how much further a new technique allows us to extend a result, and make conjectures based on examples we have computed. If